A Comprehensive Analysis of Hermite-Hadamard Type Inequalities via Generalized Preinvex Functions
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The principal objective of this article is to introduce the idea of a new class of n-polynomial convex functions which we call n-polynomial s-type m-preinvex function. We establish a new variant of the well-known Hermite-Hadamard inequality in the mode of the newly introduced concept. To add more insight into the newly introduced concept, we have discussed some algebraic properties and examples as well. Besides, we discuss a few new exceptional cases for the derived results, which make us realize that the results of this paper are the speculations and expansions of some recently known outcomes. The immeasurable concepts and chasmic tools of this paper may invigorate and revitalize additional research in this mesmerizing and absorbing field.
Açıklama
Anahtar Kelimeler
S-Type Convex Function; Preinvex Function; M-Preinvex Function; Holder's Inequality; Holder-Iscan Inequality; Power-Mean Integral Inequality; Improved Power-Mean Integral Inequality, Integral-Inequalities
Kaynak
Axioms
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
10
Sayı
4
