Some ostrowski type inequalities via n-polynomial exponentially s-convex functions and their applications

Muhammad Tariq, Soubhagya Kumar Sahoo, Jamshed Nasir, Hassen Aydi, Habes Alsamir*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper deals with introducing and investigating a new convex mapping namely, n-polynomial exponentially s-convex. Here, we present some algebraic properties and some logical examples to validate the theory of newly introduced convexity. Some novel adaptations of the well-known Hermite-Hadamard and Ostrowski type inequalities for this convex function have been established. Additionally, some special cases of the newly established results are derived as well. Finally, as applications some new limits for special means of positive real numbers are given. These new outcomes yield a few generalizations of the earlier outcomes already published in the literature.

Original languageEnglish
Pages (from-to)13272-13290
Number of pages19
JournalAIMS Mathematics
Volume6
Issue number12
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Hölder’s inequality
  • N-polynomial exponentially s-convex function
  • Ostrowski inequality
  • Power-mean integral inequality

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