Work

New symmetric midpoint type inequalities for convex functions

Year: 2025

Type: article

Abstract: In this study, we first develop symmetric quantum integral identity utilizing the derivatives and integrals of symmetric quantum types. Then, by using this identity, we establish modified versions of midpoint-type inequalities for differentiable convex functions. To obtain recent results, a few basic inequalities such as power mean and H?lder?s, have been utilized. We create links between our results and previous findings in the literature taking q ? 1. For a better understanding and validation of the results, we present numerical results and some graphs. Finally, we provide some examples to illustrate the validity of newly obtained symmetric quantum inequalities. The concepts and methods presented in this work can inspire more investigation.

Source: Filomat

DOI: 10.2298/fil2504389h

Authors: Rashida Hussain, Ghazala Gulshan, Amara Rehman, Hüseyin Budak

Institutions: Mirpur University of Science and Technology, Düzce Üniversitesi

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412754259

FWCI:

Cites: 47

Cited by:

Related to: 10