Two-dimensional Pompeiu's mean value theorems and related results
Mohammad Wajeeh Alomari
TL;DR
This paper introduces a new mean value theorem of Pompeiu's type for functions of two variables, expanding the theoretical framework of multivariable calculus.
Contribution
It presents a novel two-dimensional Pompeiu's mean value theorem and related results, filling a gap in the existing mathematical literature.
Findings
Establishment of a new mean value theorem for two-variable functions
Derivation of related theoretical results in multivariable calculus
Potential applications in mathematical analysis and related fields
Abstract
In this work a mean value theorem of Pompeiu's type for functions of two variables is presented. Other related results are given as well.
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Taxonomy
TopicsFunctional Equations Stability Results