Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main idea of the current investigation is to explore some new aspects of Ostrowski's type integral inequalities implementing the generalized Jensen-Mercer inequality established for generalized s-convexity in fractal space. To proceed further with this task, we construct a new generalized integral equality for first-order local differentiable functions, which will serve as an auxiliary result to restore some new bounds for Ostrowski inequality. We establish our desired results by employing the equality, some renowned generalized integral inequalities like Holder's, power mean, Yang-Holder's, bounded characteristics of the functions and considering generalized s-convexity characteristics of functions. Also, in support of our main findings, we deliver specific applications to means, and numerical integration and graphical visualization are also presented here.
Açıklama
Anahtar Kelimeler
convex, Jensen-Mercer, Ostrowski, fractal, inequalities, means, Fractional Integral-Inequalities, Harmonically Convex-Functions, Hadamard-Type Inequalities
Kaynak
Fractal And Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
7
Sayı
9
