On Functions with Monotonic Differences-Reference-Cited by-同舟云学术

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On Functions with Monotonic Differences

Published:2024-03-01 Issue:1 Volume:38 Page:93-110
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Rajba Teresa¹^ORCID

Affiliation:

1. Department of Mathematics , University of Bielsko-Biala , ul. Willowa 2 , Bielsko-Biała , Poland

Abstract

Abstract Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions. An application of these results to obtain new proofs of known results as well as new results is presented.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/amsil-2024-0009

Reference11 articles.

1. M. Balcerowski, On a problem of T. Szostok on functions with monotonic di˙erences, Aequationes Math. 85 (2013), no. 1–2, 165–167.

2. N.G. de Brujin, Functions whose di˙erences belong to a given class, Nieuw Arch. Wiskunde (2) 23 (1951), 194–218.

3. M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, PWN – Uniwersytet ‚Śląski, Warszawa-Kraków-Katowice, 1985.

4. G. Maksa and Z. Páles, Decomposition of higher-order Wright-convex functions, J. Math. Anal. Appl. 359 (2009), no. 2, 439–443.

5. C.T. Ng, Functions generating Schur-convex sums, in: W. Walter (ed.), General Inequalities, 5 (Oberwolfach, 1986), International Series of Numerical Mathematics, 80, Birkhäuser, Basel-Boston, 1987, pp. 433–438.

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