id sid eid entity type cana-1536 1 1 1074 CARDINAL cana-1536 2 1 2024 CARDINAL cana-1536 2 2 433 CARDINAL cana-1536 2 3 rajitha1 ORG cana-1536 3 1 osmania university ORG cana-1536 3 2 telangana GPE cana-1536 3 3 india GPE cana-1536 4 1 2associate CARDINAL cana-1536 4 2 nizam college ORG cana-1536 4 3 osmania university ORG cana-1536 4 4 telangana GPE cana-1536 4 5 india GPE cana-1536 6 1 07-05-2024 CARDINAL cana-1536 6 2 25 CARDINAL cana-1536 6 3 09-07-2024 CARDINAL cana-1536 6 4 e.a property ORG cana-1536 9 1 e.a property ORG cana-1536 12 1 tfp PERSON cana-1536 13 1 tfp ORG cana-1536 14 1 1 CARDINAL cana-1536 18 1 2008 DATE cana-1536 18 2 mustafa PERSON cana-1536 19 1 2014 DATE cana-1536 19 2 aghajani et al PERSON cana-1536 22 1 1 CARDINAL cana-1536 24 1 1]-[15 CARDINAL cana-1536 25 1 tfp PERSON cana-1536 26 1 1074 CARDINAL cana-1536 27 1 2024 CARDINAL cana-1536 27 2 434 CARDINAL cana-1536 28 1 2 CARDINAL cana-1536 28 2 2.1 CARDINAL cana-1536 28 3 0 CARDINAL cana-1536 28 4 α΄‚ β‰  PERSON cana-1536 28 5 ∈ ORG cana-1536 29 1 three CARDINAL cana-1536 30 1 ∈ ORG cana-1536 31 1 2.2 CARDINAL cana-1536 32 1 𝔣),d(𝔣,α΄‚ GPE cana-1536 33 1 2.3 CARDINAL cana-1536 33 2 2.4 CARDINAL cana-1536 34 1 ∈ ORG cana-1536 34 2 0 CARDINAL cana-1536 34 3 ℐ𝑛 PERSON cana-1536 34 4 ℐ𝑛 PERSON cana-1536 34 5 2.5 CARDINAL cana-1536 35 1 2.6 CARDINAL cana-1536 36 1 {ℐ𝑛} PERSON cana-1536 36 2 β„‹(ℐ𝑛 GPE cana-1536 37 1 2.7 CARDINAL cana-1536 37 2 two CARDINAL cana-1536 38 1 3 CARDINAL cana-1536 38 2 3.1 CARDINAL cana-1536 39 1 mappingβ„‹. GPE cana-1536 39 2 3.2 CARDINAL cana-1536 39 3 two CARDINAL cana-1536 39 4 β„‹. PERSON cana-1536 42 1 3.3 CARDINAL cana-1536 42 2 two CARDINAL cana-1536 42 3 β„‹. PERSON cana-1536 46 1 1074 CARDINAL cana-1536 47 1 2024 CARDINAL cana-1536 47 2 435 CARDINAL cana-1536 47 3 3.4let CARDINAL cana-1536 48 1 two CARDINAL cana-1536 50 1 β„‹(β„“ DATE cana-1536 50 2 β„‹(β„“ DATE cana-1536 51 1 𝑏(β„‹(𝔣 GPE cana-1536 51 2 β„±β„“, β„±β„“ WORK_OF_ART cana-1536 51 3 β„‹and GPE cana-1536 52 1 β„‹(ὡ𝑝 ORG cana-1536 52 2 ℐ𝑝 LOC cana-1536 53 1 ∈ ORG cana-1536 53 2 3.4.1 CARDINAL cana-1536 54 1 Ο±π‘βˆ’1 PERSON cana-1536 55 1 Ο±π‘βˆ’1 PERSON cana-1536 55 2 β„π‘βˆ’1 PERSON cana-1536 55 3 β„‹(ὡ𝑝 ORG cana-1536 55 4 β„‹(ὡ𝑝 ORG cana-1536 57 1 + ₒ𝑏(β„±α½΅π‘βˆ’1 DATE cana-1536 57 2 ℱὡ𝑝 GPE cana-1536 57 3 ℱὡ𝑝 GPE cana-1536 60 1 ℑ𝑝 ≀ πœƒπ‘β„‘0 ORG cana-1536 60 2 ∈ ORG cana-1536 61 1 β„±α½΅π‘š GPE cana-1536 61 2 β„±α½΅π‘š PERSON cana-1536 61 3 𝑏(ℱϱ𝑛 ORG cana-1536 61 4 β„±Ο±π‘š GPE cana-1536 62 1 β„±α½΅π‘š PERSON cana-1536 62 2 β„±α½΅π‘š PERSON cana-1536 63 1 𝑏(ℱϱ𝑛+1 NORP cana-1536 63 2 β„±Ο±π‘š GPE cana-1536 64 1 ℱℐ𝑛+1, ℱℐ𝑛+1 GPE cana-1536 67 1 β„±α½΅π‘š PERSON cana-1536 67 2 β„±α½΅π‘š PERSON cana-1536 69 1 β„±Ο±π‘š GPE cana-1536 69 2 ………………………………………………………… PRODUCT cana-1536 70 1 1074 CARDINAL cana-1536 71 1 2024 CARDINAL cana-1536 71 2 436 CARDINAL cana-1536 72 1 ℱℐ𝑛+1 PERSON cana-1536 77 1 sₒ𝑏(ℱὡ𝑛 PERSON cana-1536 77 2 ℱὡ𝑛+3, PERCENT cana-1536 78 1 β„±α½΅π‘š PERSON cana-1536 78 2 β„±α½΅π‘š PERSON cana-1536 80 1 ℱϱ𝑛+3 GPE cana-1536 80 2 ℱϱ𝑛+3 GPE cana-1536 81 1 β„±Ο±π‘š GPE cana-1536 82 1 𝑏(ℱϱ𝑛 ORG cana-1536 83 1 𝑏(ℱϱ𝑛+1 NORP cana-1536 84 1 β„±β„π‘šβˆ’1 DATE cana-1536 84 2 β„±β„π‘šβˆ’1 ORG cana-1536 87 1 β„±α½΅π‘š, β„±α½΅π‘š ORG cana-1536 87 2 β„±Ο±π‘š GPE cana-1536 89 1 β„‘0 CARDINAL cana-1536 89 2 β„‘0 CARDINAL cana-1536 89 3 β„‘0 CARDINAL cana-1536 89 4 0 as 𝑛 β†’ ∞. MONEY cana-1536 89 5 β„±α½΅π‘š PERSON cana-1536 89 6 ℱϱ𝑛 GPE cana-1536 89 7 {ℱὡ𝑛 PERSON cana-1536 89 8 ℱϱ𝑛 PERSON cana-1536 89 9 𝜎 ORG cana-1536 91 1 lim PERSON cana-1536 91 2 lim π‘›β†’βˆž ℱϱ𝑛 ORG cana-1536 91 3 lim PERSON cana-1536 91 4 lim PERSON cana-1536 91 5 𝑏(ℱὡ𝑛 GPE cana-1536 91 6 𝜎 GPE cana-1536 91 7 𝜎 ORG cana-1536 91 8 0 CARDINAL cana-1536 91 9 𝑏(ℱϱ𝑛 ORG cana-1536 93 1 3.4.3 CARDINAL cana-1536 93 2 lim PERSON cana-1536 93 3 𝑏(ℱℱℐ𝑛 NORP cana-1536 93 4 β„±πœŒ ORG cana-1536 93 5 β„±πœŒ PERSON cana-1536 93 6 lim PERSON cana-1536 93 7 𝑏(ℱℱὡ𝑛 GPE cana-1536 93 8 β„±πœŽ NORP cana-1536 93 9 0 CARDINAL cana-1536 93 10 ℱ𝔑, ℱ𝔑 ORG cana-1536 93 11 0 CARDINAL cana-1536 94 1 3.4.1 CARDINAL cana-1536 94 2 𝑏(ℱℱℐ𝑛+1 GPE cana-1536 94 3 β„‹(𝜌 ORG cana-1536 94 4 𝜎 ORG cana-1536 94 5 β„‹(𝜌 ORG cana-1536 94 6 𝜎 ORG cana-1536 95 1 𝑏(ℱℱὡ𝑛 GPE cana-1536 96 1 𝑏(ℱℱϱ𝑛 GPE cana-1536 97 1 β„‹(𝜌 ORG cana-1536 97 2 𝜎 ORG cana-1536 97 3 β„‹(𝜌 ORG cana-1536 97 4 𝜎 ORG cana-1536 98 1 ℐ𝑛 PERSON cana-1536 98 2 ℐ𝑛 PERSON cana-1536 98 3 1074 CARDINAL cana-1536 99 1 2024 CARDINAL cana-1536 99 2 437 CARDINAL cana-1536 99 3 ℱὡ𝑛 PERSON cana-1536 99 4 ℱϱ𝑛 PERSON cana-1536 99 5 β„‹(𝜌 ORG cana-1536 99 6 𝜎 ORG cana-1536 99 7 β„‹(𝜌 ORG cana-1536 99 8 𝜎 ORG cana-1536 100 1 ℱϱ𝑛 PERSON cana-1536 101 1 ℱὡ𝑛 PERSON cana-1536 101 2 β„±πœŒ PERSON cana-1536 101 3 β„±πœŒ PERSON cana-1536 101 4 𝑏(ℱℱὡ𝑛 GPE cana-1536 101 5 β„±πœŽ NORP cana-1536 101 6 β„±πœŽ ORG cana-1536 101 7 ℱ𝔑, ℱ𝔑 ORG cana-1536 102 1 3.4.4)we CARDINAL cana-1536 102 2 𝑏(ℱℱℐ𝑛+1 GPE cana-1536 102 3 β„‹(𝜌 ORG cana-1536 102 4 𝜎 ORG cana-1536 102 5 β„‹(𝜌 ORG cana-1536 102 6 𝜎 ORG cana-1536 103 1 𝑏(ℱℱὡ𝑛 GPE cana-1536 104 1 𝑏(ℱℱϱ𝑛 GPE cana-1536 104 2 0 π‘Žπ‘  MONEY cana-1536 104 3 𝑏(ℱℱℐ𝑛+1 GPE cana-1536 104 4 β„‹(𝜌 ORG cana-1536 104 5 𝜎 ORG cana-1536 104 6 β„‹(𝜌 ORG cana-1536 104 7 𝜎 ORG cana-1536 105 1 𝑏(ℱℱὡ𝑛 GPE cana-1536 106 1 𝑏(ℱℱϱ𝑛 GPE cana-1536 106 2 β„‹(𝜌 ORG cana-1536 106 3 𝜎 ORG cana-1536 106 4 β„‹(𝜌 ORG cana-1536 106 5 𝜎 ORG cana-1536 107 1 β„‹(𝜌 ORG cana-1536 107 2 𝜎 ORG cana-1536 107 3 β„‹(𝜌 ORG cana-1536 107 4 𝜎 ORG cana-1536 108 1 0 ₒ𝑏(β„±πœŒ QUANTITY cana-1536 108 2 β„‹(𝜌 ORG cana-1536 108 3 𝜎 ORG cana-1536 108 4 β„‹(𝜌 ORG cana-1536 108 5 𝜎 ORG cana-1536 109 1 β„‹(𝜌 ORG cana-1536 109 2 𝜎 ORG cana-1536 109 3 𝜎)------------(3.4.5 ORG cana-1536 109 4 𝜎 ORG cana-1536 109 5 β„‹. PERSON cana-1536 109 6 β„±πœŽ ORG cana-1536 110 1 ℱ𝔑, β„±πœŒ ORG cana-1536 110 2 β„±πœŒ PERSON cana-1536 110 3 𝑏(β„‹(𝜌 PERSON cana-1536 110 4 𝜎 ORG cana-1536 111 1 β„‹(𝜌 ORG cana-1536 111 2 𝜎 ORG cana-1536 111 3 β„‹(𝜌 ORG cana-1536 111 4 𝜎 ORG cana-1536 111 5 3.4.1 CARDINAL cana-1536 111 6 πœƒ[ₒ𝑏(β„±πœŒ NORP cana-1536 111 7 β„±πœŽ ORG cana-1536 111 8 β„±πœŽ ORG cana-1536 111 9 ℱ𝔑, β„±πœŒ ORG cana-1536 111 10 β„±πœŒ PERSON cana-1536 111 11 β„±πœŽ ORG cana-1536 111 12 β„±πœŒ PERSON cana-1536 111 13 3.4.1 CARDINAL cana-1536 111 14 𝑏(𝜌 ORG cana-1536 111 15 β„±πœŒ ORG cana-1536 111 16 β„±πœŒ PERSON cana-1536 111 17 𝑏(𝜎 PRODUCT cana-1536 111 18 β„±πœŽ ORG cana-1536 111 19 β„±πœŽ ORG cana-1536 111 20 ℱ𝔑, ℱ𝔑) ≀ 𝑠[ₒ𝑏(𝜌 ORG cana-1536 111 21 β„±πœŒ ORG cana-1536 111 22 β„±πœŒ)]+ PERSON cana-1536 111 23 β„±πœŽ ORG cana-1536 111 24 ℱ𝔑, ℱ𝔑)] communications ORG cana-1536 111 25 1074 CARDINAL cana-1536 112 1 2024 CARDINAL cana-1536 112 2 438 CARDINAL cana-1536 113 1 𝑏(𝜎 PRODUCT cana-1536 113 2 ℱὡ𝑝+1)+ₒ𝑏(𝔑, ℱϱ𝑝+1, ORG cana-1536 114 1 β„±πœŒ ORG cana-1536 114 2 β„±πœŒ PERSON cana-1536 114 3 β„±πœŽ ORG cana-1536 114 4 β„±πœŽ)+ₒ𝑏(ℱϱ𝑝+1 ORG cana-1536 114 5 ℱ𝔑, ℱ𝔑) ORG cana-1536 114 6 𝑏(𝜎 PRODUCT cana-1536 114 7 ℱὡ𝑝+1)+ₒ𝑏(𝔑, ℱϱ𝑝+1, ORG cana-1536 114 8 β„‹(𝜌 ORG cana-1536 114 9 𝜎 ORG cana-1536 114 10 β„‹(𝜌 ORG cana-1536 114 11 𝜎 ORG cana-1536 114 12 𝔑))+ₒ𝑏 CARDINAL cana-1536 114 13 β„‹(ὡ𝑝 ORG cana-1536 114 14 𝑏(𝜎 PRODUCT cana-1536 114 15 ℱὡ𝑝+1)+ₒ𝑏(𝔑, ℱϱ𝑝+1, ORG cana-1536 115 1 β„±πœŒ ORG cana-1536 115 2 β„±πœŒ PERSON cana-1536 115 3 β„±πœŽ ORG cana-1536 115 4 β„±πœŽ ORG cana-1536 115 5 𝑏(𝜌 ORG cana-1536 115 6 β„±πœŒ ORG cana-1536 115 7 β„±πœŒ PERSON cana-1536 115 8 𝑏(𝜎 PRODUCT cana-1536 115 9 β„±πœŽ ORG cana-1536 115 10 β„±πœŽ ORG cana-1536 115 11 ℱ𝔑, ℱ𝔑) ≀ ORG cana-1536 116 1 𝑏(𝜌 ORG cana-1536 116 2 𝑏(𝜎 PRODUCT cana-1536 116 3 𝜎 ORG cana-1536 116 4 β„±πœŒ PERSON cana-1536 116 5 β„±πœŒ PERSON cana-1536 116 6 𝑏(𝜎 PRODUCT cana-1536 116 7 β„±πœŽ ORG cana-1536 116 8 ℱ𝔑, ℱ𝔑)] ≀ π‘ πœƒ[ₒ𝑏(𝜌 ORG cana-1536 116 9 β„±πœŒ PERSON cana-1536 116 10 β„±πœŒ PERSON cana-1536 116 11 𝑏(𝜎 PRODUCT cana-1536 116 12 β„±πœŽ ORG cana-1536 116 13 ℱ𝔑, ℱ𝔑)]. ORG cana-1536 118 1 3.4.7 CARDINAL cana-1536 118 2 tfp PERSON cana-1536 118 3 β„‹. PERSON cana-1536 118 4 3ₒ𝑏(𝜌 CARDINAL cana-1536 119 1 ℱ𝔏 GPE cana-1536 119 2 ℱ𝔏 GPE cana-1536 119 3 β„‹. PERSON cana-1536 119 4 3.5let CARDINAL cana-1536 120 1 𝑏(β„‹(α΄‚ ORG cana-1536 121 1 β„‹(β„“ DATE cana-1536 121 2 β„‹(β„“ DATE cana-1536 121 3 3.6 CARDINAL cana-1536 122 1 mappingₒ𝑏:α½£3 GPE cana-1536 122 2 1 9 DATE cana-1536 124 1 32 CARDINAL cana-1536 124 2 3 CARDINAL cana-1536 124 3 5 CARDINAL cana-1536 124 4 32 DATE cana-1536 124 5 4 CARDINAL cana-1536 124 6 1074 CARDINAL cana-1536 125 1 2024 CARDINAL cana-1536 125 2 439 CARDINAL cana-1536 126 1 β„‹(β„“ DATE cana-1536 126 2 β„‹(β„“ DATE cana-1536 126 3 1 CARDINAL cana-1536 126 4 32 CARDINAL cana-1536 126 5 3 CARDINAL cana-1536 126 6 5 CARDINAL cana-1536 126 7 32 CARDINAL cana-1536 126 8 1 CARDINAL cana-1536 126 9 32 CARDINAL cana-1536 126 10 3 CARDINAL cana-1536 126 11 1 CARDINAL cana-1536 126 12 32 CARDINAL cana-1536 126 13 3 CARDINAL cana-1536 127 1 1 CARDINAL cana-1536 127 2 32 CARDINAL cana-1536 127 3 3 CARDINAL cana-1536 127 4 32 CARDINAL cana-1536 127 5 5 CARDINAL cana-1536 127 6 32 DATE cana-1536 127 7 1 CARDINAL cana-1536 127 8 32 CARDINAL cana-1536 127 9 5 CARDINAL cana-1536 127 10 1 CARDINAL cana-1536 127 11 32 CARDINAL cana-1536 127 12 5 CARDINAL cana-1536 128 1 32 CARDINAL cana-1536 128 2 3 CARDINAL cana-1536 128 3 5 α΄”2 32 DATE cana-1536 128 4 1 CARDINAL cana-1536 128 5 3 CARDINAL cana-1536 128 6 5 CARDINAL cana-1536 128 7 1 CARDINAL cana-1536 128 8 3 CARDINAL cana-1536 128 9 5 CARDINAL cana-1536 128 10 βˆ’ Ο°| + PERSON cana-1536 128 11 β„“| DATE cana-1536 128 12 β„˜|}2 CARDINAL cana-1536 129 1 2 9 DATE cana-1536 129 2 2 9 DATE cana-1536 130 1 βˆ’ Ο°| + PERSON cana-1536 130 2 β„“| DATE cana-1536 131 1 𝑏(β„‹(α΄‚ ORG cana-1536 132 1 β„‹(β„“ DATE cana-1536 132 2 β„‹(β„“ DATE cana-1536 133 1 0 CARDINAL cana-1536 133 2 0 DATE cana-1536 133 3 0 DATE cana-1536 134 1 4. CARDINAL cana-1536 134 2 tfp PERSON cana-1536 135 1 1 CARDINAL cana-1536 135 2 v. kiran PERSON cana-1536 136 1 2023 CARDINAL cana-1536 138 1 11(5 CARDINAL cana-1536 138 2 767 CARDINAL cana-1536 140 1 2 CARDINAL cana-1536 140 2 kumar PERSON cana-1536 140 3 sachin GPE cana-1536 140 4 two CARDINAL cana-1536 140 5 𝐺𝑏metric NORP cana-1536 140 6 54-65 DATE cana-1536 141 1 https://doi.org/10.9734/bpi/ratmcs/v1/18818d ORG cana-1536 142 1 3 CARDINAL cana-1536 142 2 o. ege GPE cana-1536 142 3 r. saini PERSON cana-1536 143 1 2022 CARDINAL cana-1536 146 1 10(2):219-227 CARDINAL cana-1536 147 1 4 CARDINAL cana-1536 147 2 e. erdoğan PERSON cana-1536 147 3 a.s. ΓΆzkapu PERSON cana-1536 148 1 2022 CARDINAL cana-1536 149 1 carpathian NORP cana-1536 150 1 14 CARDINAL cana-1536 150 2 2 CARDINAL cana-1536 150 3 485 CARDINAL cana-1536 150 4 492 CARDINAL cana-1536 151 1 https://doi.org/10.15330/cmp.14.2.485-492 ORG cana-1536 152 1 5 CARDINAL cana-1536 152 2 b. s. rao PERSON cana-1536 152 3 l. v. kumar PERSON cana-1536 152 4 c. maheswari PERSON cana-1536 152 5 s. m. shaw PERSON cana-1536 153 1 501-512 CARDINAL cana-1536 154 1 https://doi.org/10.9734/bpi/ratmcs/v1/18818d NORP cana-1536 154 2 1074 CARDINAL cana-1536 155 1 2024 CARDINAL cana-1536 155 2 440 CARDINAL cana-1536 156 1 6 CARDINAL cana-1536 156 2 gupta GPE cana-1536 156 3 dr. PERSON cana-1536 156 4 vishal & ege ORG cana-1536 156 5 ozgur & saini ORG cana-1536 156 6 rajani & de la sen ORG cana-1536 156 7 manuel PERSON cana-1536 157 1 2021 CARDINAL cana-1536 160 1 30 CARDINAL cana-1536 161 1 277 CARDINAL cana-1536 163 1 7 CARDINAL cana-1536 163 2 v. gupta PERSON cana-1536 163 3 o. ege GPE cana-1536 163 4 r. saini PERSON cana-1536 163 5 m. de la PERSON cana-1536 163 6 2021 CARDINAL cana-1536 165 1 30 CARDINAL cana-1536 165 2 2 DATE cana-1536 165 3 277 CARDINAL cana-1536 167 1 8 CARDINAL cana-1536 167 2 2021 CARDINAL cana-1536 169 1 asian-european journal of mathematics ORG cana-1536 170 1 14 CARDINAL cana-1536 172 1 9 CARDINAL cana-1536 172 2 aziz khan PERSON cana-1536 172 3 thabet abdeljawad PERSON cana-1536 172 4 wasfi shatanawi GPE cana-1536 172 5 khan GPE cana-1536 173 1 2020 DATE cana-1536 176 1 10 CARDINAL cana-1536 176 2 e. l. ghasaba PERSON cana-1536 176 3 h. majania PERSON cana-1536 176 4 g. soleimani rada PERSON cana-1536 177 1 journal of linear ORG cana-1536 177 2 algebra.9(2):113120 PERSON cana-1536 178 1 11 CARDINAL cana-1536 178 2 a. hassen PERSON cana-1536 178 3 r. dusan PERSON cana-1536 178 4 a. aghajani PERSON cana-1536 178 5 t. dosenovic PERSON cana-1536 178 6 m. salmi PERSON cana-1536 178 7 m. nooraniand PERSON cana-1536 178 8 h. qawaqneh PERSON cana-1536 179 1 2019 DATE cana-1536 180 1 7 CARDINAL cana-1536 180 2 617 CARDINAL cana-1536 181 1 12 CARDINAL cana-1536 181 2 rajendran GPE cana-1536 181 3 krishna kumar PERSON cana-1536 181 4 stojan n PERSON cana-1536 182 1 2019 CARDINAL cana-1536 184 1 25 CARDINAL cana-1536 185 1 13 CARDINAL cana-1536 185 2 nikbakhtsarvestani f PERSON cana-1536 185 3 asadi m. PERSON cana-1536 185 4 2019).common CARDINAL cana-1536 186 1 iranian NORP cana-1536 186 2 mathematical sciences and informatics.14:19–32 ORG cana-1536 188 1 14 CARDINAL cana-1536 188 2 i. karaca PERSON cana-1536 189 1 2018 DATE cana-1536 189 2 thai journal ORG cana-1536 190 1 16 CARDINAL cana-1536 190 2 3 CARDINAL cana-1536 190 3 10.1007 CARDINAL cana-1536 191 1 15 CARDINAL cana-1536 191 2 m. liang PERSON cana-1536 191 3 c. zhu GPE cana-1536 191 4 c. chen PERSON cana-1536 191 5 z. wu PERSON cana-1536 192 1 2018 DATE cana-1536 194 1 346 CARDINAL cana-1536 194 2 545 CARDINAL cana-1536 194 3 10.1016 CARDINAL cana-1536 195 1 https://doi.org/10.46719/dsa20213028 FAC