Work

Some q-Symmetric Integral Inequalities Involving s-Convex Functions

Year: 2023

Type: article

Abstract: The q-symmetric analogues of Hölder, Minkowski, and power mean inequalities are presented in this paper. The obtained inequalities along with a Montgomery identity involving q-symmetric integrals are used to extend some Ostrowski-type inequalities. The q-symmetric derivatives of the functions involved in these Ostrowski-type inequalities are convex or s-convex. Moreover, some Hermite–Hadamard inequalities for convex functions as well as for s-convex functions are also acquired with the help of q-symmetric calculus in the present work. Some examples are included to support the effectiveness of the proved results.

Source: Symmetry

DOI: 10.3390/sym15061169

Authors: Ammara Nosheen, Sana Ijaz, Khuram Ali Khan, Khalid Mahmood Awan, Marwan Ali Albahar, Mohammed Thanoon

Institutions: University of Sargodha, Umm al-Qura University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,224

Funder: Umm Al-Qura University