id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3667	Rani, Supriya; Nigam, H. K.	Approximation of Function in generalized Holder Class	2020	18	.pdf	application/pdf	5868	375	86	Math, 13 (2) (2020), 351-368 354 (a) (C,α)(C,α) or CαCα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) (C,α)(E, ql) or CαEq means if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (c) (C, 1)∆H or C1∆H means if α = 1. (ii) ( H, 1 l+1 ) ∆H or H1/l+1∆H means further reduces to (a) ( H, 1 l+1 ) (C,α) or H1/l+1Cα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) ( H, 1 l+1 ) (E, ql) or H1/l+1Eq if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (iii) (N, pl, ql)∆H or Np,q∆H means further reduces to (a) (N, pl, ql)(C,α) or Np,qCα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) (N, pl, ql)(E, ql) or Np,qEq means if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (iv) (N, pl)∆H or Np∆H means further reduces to (a) (N, pl)(C,α) or NpCα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) (N, pl)(E, ql) or NpEq means if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (v) (Ñ , pl)∆H or Ñp∆H means further reduces to (a) (Ñ , pl)(C,α) or ÑpCα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) (Ñ , pl)(E, ql) or ÑpEq means if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (vi) (E, ql)∆H or Eq∆H means further reduces to (a) (E, ql)(C,α) or EqCα means if ξ(z) = ∏α j=1 z j , α ≥ 1. (b) (E, ql)(E, ql) or EqEq means if hl,j = ( l j ) ql−j (1+q)l , 0 ≤ j ≤ l. (vii) T (C,α) or TCα means further reduces to (a) T (C, 1) or TC1 means if α = 1. (viii) T (E, ql) or TEq means further reduces to (a) T (E, 1) or TE1 means if ql = 1 ∀ l. Remark 3. We write φ(x, s) = g(x+ s) + g(x− s)− 2g(x); ∆bl,j = bl,j − bl,j+1; KT∆H l (s) = 1 2π l∑ j=0 bl,j j∑ a=0 ∫ 1 0 ( j a ) za(1− z)j−a dξ(z) sin ( a+ 1 2 )	cache/ejpam-3667.pdf	txt/ejpam-3667.txt