Decomposition of Higher-Order Wright Convex Functions Revisited-Reference-Cited by-同舟云学术

Decomposition of Higher-Order Wright Convex Functions Revisited

Published:2022-02-08 Issue:2 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Páles Zsolt^ORCID,Shihab Mahmood Kamil

Abstract

AbstractIn 2009, Maksa and Páles established an extension of the decomposition theorem of Ng in the context of higher-order convexity notions. They proved that a real function is Wright convex of order n if and only if it can be decomposed as the sum of a convex function of order n and a polynomial function of order at most n. Their proof was based on transfinite tools in the background. The main purpose of this paper is to adopt the methods of a paper of Páles published in 2020 and establish a new and elementary proof for the theorem of Maksa and Páles.

Funder

NKFIH

EFOP

TÉT

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01606-7.pdf

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4. Kuczma, M.: An introduction to the theory of functional equations and inequalities. In: Gilányi, A. (ed.) Prace Naukowe Uniwersytetu Śląskiego w Katowicach, vol. 489, Państwowe Wydawnictwo Naukowe - Uniwersytet Śląski, Warszawa–Kraków–Katowice, 1985, 2nd edn, Birkhäuser, Basel (2009)

5. Maksa, G., Páles, Z.: Decomposition of higher-order Wright-convex functions. J. Math. Anal. Appl. 359, 439–443 (2009)

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