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

Xiaoman Yuan (), Lei Xu () and Tingsong Du
Additional contact information
Xiaoman Yuan: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China
Lei Xu: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China
Tingsong Du: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China†Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 03, 1-31

Abstract: 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.

Keywords: Simpson-type Integral Inequalities; (s; P)-convex Mappings; AB-fractional Integrals (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X2350024X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:03:n:s0218348x2350024x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X2350024X

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().