A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus-Reference-Cited by-同舟云学术

A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus

Published:2022-11-09 Issue:1 Volume:2022 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Sitthiwirattham Thanin,Ali Muhammad Aamir,Budak Hüseyin,Etemad Sina,Rezapour Shahram

Abstract

AbstractIn this paper, we conduct a research on a new version of the

$( p,q ) $

( p , q ) -Hermite–Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for

$(p,q)$

( p , q ) -midpoint and

$(p,q)$

( p , q ) -trapezoidal inequalities for special

$( p,q ) $

( p , q ) -differentiable functions by using the notions of left and right

$(p,q ) $

( p , q ) -derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some

$(p,q)$

( p , q ) -functions to confirm the correctness of newly established results.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-022-01665-3.pdf

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