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On n-polynomial p-convex functions and some related inequalities

Title
On n-polynomial p-convex functions and some related inequalities
Author
박춘길
Keywords
Convex function; p-convex function; n-polynomial convexity; n-polynomial p-convex functions; Hermite–Hadamard type inequality
Issue Date
2020-11
Publisher
SPRINGER
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v. 2020, no. 1, article no. 666, page. 1-12
Abstract
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite-Hadamard type inequalities for this generalization. Moreover, we establish some refinements of Hermite-Hadamard type inequalities for this new class.
URI
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-03123-9https://repository.hanyang.ac.kr/handle/20.500.11754/172165
ISSN
1687-1847
DOI
10.1186/s13662-020-03123-9
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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