Tag Classical Analysis and ODEs

Exploring Applications of Abel’s Partial Summation Formula in Convergence of Positive Series

The study of series convergence is a cornerstone of mathematical analysis, with various applications across fields such as economics, physics, and computer science. One particular tool that has gained attention is Abel’s partial summation formula. The recent research by Constantin… Continue Reading →

Understanding Higher Derivatives of the Arctan Function and Their Mathematical Significance

The arctangent function, often denoted as arctan or tan-1, is a key component of trigonometry and calculus. Its intrinsic properties and behavior are fascinating to mathematicians and scientists alike. In this article, we’ll delve into the higher derivatives of arctan,… Continue Reading →

The Stability Version of H√∂lder’s Inequality: Understanding the Deviation from Equality

Welcome to this article where we will explore the fascinating concept of H√∂lder’s inequality and delve into its stability version. By the end, you will have a clear understanding of what H√∂lder’s inequality entails, how it can be applied, and… Continue Reading →

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