Several Quantum Hermite–Hadamard-Type Integral Inequalities for Convex Functions-Reference-Cited by-同舟云学术

Several Quantum Hermite–Hadamard-Type Integral Inequalities for Convex Functions

Published:2023-06-07 Issue:6 Volume:7 Page:463
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Ciurdariu Loredana¹^ORCID,Grecu Eugenia²^ORCID

Affiliation:

1. Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania

2. Department of Management, Politehnica University of Timisoara, 300006 Timisoara, Romania

Abstract

The aim of this study was to present several improved quantum Hermite–Hadamard-type integral inequalities for convex functions using a parameter. Thus, a new quantum identity is proven to be used as the main tool in the proof of our results. Consequently, in some special cases several new quantum estimations for q-midpoints and q-trapezoidal-type inequalities are derived with an example. The results obtained could be applied in the optimization of several economic geology problems.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/6/463/pdf

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