SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

被引：10
|
作者：
Yuan, Xiaoman [1 ]
Xu, Lei [1 ]
Du, Tingsong [1 ,2 ]
机构：
[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Peoples R China
[2] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 03期
关键词：
Simpson-type Integral Inequalities; (s; P)-convex Mappings; AB-fractional Integrals; CONVEX-FUNCTIONS; OPERATORS;
D O I：
10.1142/S0218348X2350024X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
First, we establish the parametrized integral identity and its improved version via Atangana-Baleanu (AB) fractional integrals. For the focus of this paper, we utilize the resulting identities to derive a series of Simpson-like integral inequalities for mappings whose second-order derivatives belong to the (s,P)-convexity and (s,P)-concavity in absolute value. And a couple of outcomes, concerning the Simpson-like quadrature formulas, the q-digamma functions and the modified Bessel functions, are introduced as applications separately in the end.
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页数：31
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