Journal
Volume & Issue
Volume 10, Issue 1
Published on
Pages
DOI
Article
Integral Inequalities Involving Functions whose Partial Derivatives are Exponentially Convex on the Co-ordinates
Authors
Abstract
In this paper, we establish several novel integral inequalities for functions whose partial deriva- tives are exponentially convex with respect to each coordinate. To begin with, a new integral identity is derived, which serves as a foundational tool for generating further inequalities. Utilizing well-known classical inequalities, such as Ho¨lder’s and Young’s inequalities, we derive a range of new upper bounds and estimates. Furthermore, various special cases and corollaries of the main results are discussed to highlight the applicability and generality of the obtained inequalities. These findings contribute to the growing body of research on convexity-based analysis and may have potential implications in related areas of mathematical inequalities and applied analysis.