Non-Newtonian Integration

Chapman & Hall/CRC eBooks 2026 Book chapter

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Authors: Svetlin G. Georgiev, Muhittin Evren Aydın
DOI: 10.1201/9781003750734-7
Cited by: 0

Abstract

In this chapter, we introduce the α -integral and derive some of its properties. We consider the change of variables for α -integrals and α -integration by parts. We also derive some important α -integral inequalities. Some mean value theorems for α -integrals are developed, and we present the α -Taylor formula in α -integral form.

Fields of Study & Subjects

Mathematical Inequalities and Applications Mathematical and Theoretical Analysis Fuzzy Systems and Optimization

Publication details

Journal / source
Chapman & Hall/CRC eBooks
Pages
265–315
Publication date
10 March 2026
Language
EN
Document type
Book chapter