id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5834	Almutairi, Ohud Bulayhan 	New Inequalities for Differentiable Mappings via Fractional Integral Operators	2025	12	.pdf	application/pdf	4552	253	75	∫ 1 0 (1−ϖ)ρ+1η′′ ( 1−ϖ 2 k1 + 1 +ϖ 2 k2 ) dϖ ∣∣∣∣ ≤ (k2 − k1) 2 8(ρ+ 1) ∫ 1 0 (1−ϖ)ρ+1 ∣∣∣∣η′′(1 +ϖ 2 k1 + 1−ϖ 2 k2 )∣∣∣∣ dϖ + (k2 − k1) 2 8(ρ+ 1) ∫ 1 0 (1−ϖ)ρ+1 ∣∣∣∣η′′(1−ϖ 2 k1 + 1 +ϖ 2 k2 )∣∣∣∣ dϖ ≤ (k2 − k1) 2 8(ρ+ 1) ∫ 1 0 (1−ϖ)ρ+1η′′ ( 1−ϖ 2 k1 + 1 +ϖ 2 k2 ) dϖ ∣∣∣∣ ≤ (k2 − k1) 2 8(ρ+ 1) ∫ 1 0 (1−ϖ)ρ+1 ∣∣∣∣η′′(1 +ϖ 2 k1 + 1−ϖ 2 k2 )∣∣∣∣ dϖ + (k2 − k1) 2 8(ρ+ 1) ∫ 1 0 (1−ϖ)ρ+1 ∣∣∣∣η′′(1−ϖ 2 k1 + 1 +ϖ 2 k2 )∣∣∣∣ dϖ ≤ (k2 − k1) 2 8(ρ+ 1)	cache/ejpam-5834.pdf	txt/ejpam-5834.txt