THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS-Reference-Cited by-同舟云学术

THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS

Published:2023-01 Issue:05 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ZHOU YUNXIU¹,DU TINGSONG¹²^ORCID

Affiliation:

1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China

2. Department of Mathematics, College of Science, China Three Gorges University, Yichang, Hubei 443002, P. R. China

Abstract

Applying the local fractional integrals, a generalized identity involving the local second-order differentiable mappings is first developed in this paper. A series of fractal integral inequalities pertaining to Simpson type, for the mappings whose local second-order derivatives are generalized [Formula: see text]-convex in absolute value at some power, are then deduced by the discovered identity. Finally, from an application perspective, a range of fractal outcomes with regard to [Formula: see text]-type special means, Simpson numerical integrations, midpoint numerical integrations and wave equations are presented, correspondingly.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X2350038X

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