On n-polynomial p-convex functions and some related inequalitiesopen access
- Authors
- Park, Choonkil; Chu, Yu-Ming; Saleem, Muhammad Shoaib; Jahangir, Nazia; Rehman, Nasir
- Issue Date
- Dec-2020
- Publisher
- SPRINGER
- Keywords
- Convex function; p-convex function; n-polynomial convexity; n-polynomial p-convex functions; Hermite& #8211; Hadamard type inequality
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2020, no.1, pp.1 - 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2020
- Number
- 1
- Start Page
- 1
- End Page
- 12
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144266
- DOI
- 10.1186/s13662-020-03123-9
- ISSN
- 1687-1839
- 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.
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