Quantum analogue of Trapezoid-type inequalities for q-differentiable coordinated strongly convex functions

In this paper, with the help of quantum integrals and derivatives, we derive some q-Trapezoid-type inequalities for quantum differentiable coordinated strongly convex functions on bidimensional intervals and obtain new bounds using the q-Ho¨lder and power mean inequalities. We show that the results...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics & computing Vol. 71; no. 2; pp. 2473 - 2504
Main Authors: Mishra, Shashi Kant, Sharma, Ravina, Bisht, Jaya
Format: Journal Article
Language:English
Published: Dordrecht Springer Nature B.V 01.04.2025
Subjects:
Calculus
Convex analysis
Data analysis
Inequalities
Integrals
Quantum physics
ISSN:1598-5865, 1865-2085
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, with the help of quantum integrals and derivatives, we derive some q-Trapezoid-type inequalities for quantum differentiable coordinated strongly convex functions on bidimensional intervals and obtain new bounds using the q-Ho¨lder and power mean inequalities. We show that the results established in this paper generalize earlier findings. Additionally, we demonstrate our findings with the help of some examples. These developments not only reinforce the core tenets of convex analysis but also expand the applicability of Hermite-Hadamard-type inequalities to generalized convex functions on coordinates and provide valuable tools for data analysis and optimization problem-solving.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-024-02281-3