Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MDPI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a monotonic increasing function. The proposed methodology deals with a new class of convexity and related integral and fractional inequalities. There exists a solid connection between fractional operators and convexity because of its fascinating nature in the numerical sciences. Some special cases have also been discussed, and several already-known inequalities have been recaptured to behave well. Some applications related to special means, q-digamma, modified Bessel functions, and matrices are discussed as well. The aftereffects of the plan show that the methodology can be applied directly and is computationally easy to understand and exact. We believe our findings generalise some well-known results in the literature on s-convexity.
Açıklama
Anahtar Kelimeler
Convex function, Fractional integral operator, Hermite–Hadamard inequality, Matrices, Modified Bessel functions, Q-digamma functions, Special means, ϱ-s-convex function
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
6
Sayı
1
