CHARACTERIZATIONS OF UNIFORM CONVEXITY FOR DIFFERENTIABLE FUNCTIONS

Alabdali O, Guessab A, Schmeißer G (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Applicable Analysis and Discrete Mathematics University of Belgrade and Academic Mind

Book Volume: 13

Pages Range: 721-732

Journal Issue: 3

DOI: 10.2298/AADM190322029A

Abstract

We consider convex functions in d real variables. For applications, for example in optimization, various strengthened forms of convexity have been introduced. Among them, uniform convexity is one of the most general, defined by involving a so-called modulus phi. Inspired by three classical characterizations of ordinary convexity, we aim at characterizations of uniform convexity by conditions in terms of the gradient or the Hessian matrix of the considered function for certain classes of moduli phi.

Authors with CRIS profile

Gerhard Schmeißer Department Mathematik

Involved external institutions

University of Anbar / جامعة الأنبار‎ IQ Iraq (IQ) University of Pau and Pays de l'Adour / Université de Pau et des Pays de l'Adour (UPPA) FR France (FR)

How to cite

APA:

Alabdali, O., Guessab, A., & Schmeißer, G. (2019). CHARACTERIZATIONS OF UNIFORM CONVEXITY FOR DIFFERENTIABLE FUNCTIONS. Applicable Analysis and Discrete Mathematics, 13(3), 721-732. https://dx.doi.org/10.2298/AADM190322029A

MLA:

Alabdali, Osama, Allal Guessab, and Gerhard Schmeißer. "CHARACTERIZATIONS OF UNIFORM CONVEXITY FOR DIFFERENTIABLE FUNCTIONS." Applicable Analysis and Discrete Mathematics 13.3 (2019): 721-732.

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