Estimates of trapezium-type inequalities for h-convex functions with applications to quadrature formulae

Estimates of trapezium-type inequalities for h-convex functions with applications to quadrature formulae

In this article, we develop a new class of trapezium-type inequalities up to twice differentiable h-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities. Based on our consequences, we will obtain some quadrature f...

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Bibliographic Details
Main Authors: Muhammad Samraiz, Fakhra Nawaz, Bahaaeldin Abdalla, Thabet Abdeljawad, Gauhar Rahman, Sajid Iqbal
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
mid-point type inequalities
generalized riemann-liouville fractional integral operator
h-convex
s-convex
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021443?viewType=HTML
Description
Summary:In this article, we develop a new class of trapezium-type inequalities up to twice differentiable h-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities. Based on our consequences, we will obtain some quadrature formulas as applications.
ISSN:2473-6988

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