Higher-Order Non-Newtonian Derivatives

Chapman & Hall/CRC eBooks 2026 Book chapter

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Authors: Svetlin G. Georgiev, Muhittin Evren Aydın
DOI: 10.1201/9781003750734-6
Cited by: 0

Abstract

In this chapter, we introduce the higher-order α -derivatives of α -functions and provide an analogue of the classical Taylor formula. Necessary and sufficient conditions for α -monotonicity and α -extrema of α -functions are proved. The concepts of α -concavity and α -convexity of α -functions are introduced, and necessary and sufficient conditions for their α -convexity and α -concavity are developed.

Fields of Study & Subjects

Mathematical Inequalities and Applications Approximation Theory and Sequence Spaces Mathematical and Theoretical Analysis

Publication details

Journal / source
Chapman & Hall/CRC eBooks
Pages
213–264
Publication date
10 March 2026
Language
EN
Document type
Book chapter