Parameterized Inequalities of Different Types for Preinvex Functions with Respect to another Function via Generalized Fractional Integral Operators and their Applications
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Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We prove an identity with two parameters for a function differentiable with respect to another function via generalized integral operator. By applying the established identity, we discover the generalized trapezium, midpoint, and Simpson-type integral inequalities. It is indicated that the results of the present research provide integral inequalities for almost all fractional integrals discovered in recent decades. Various special cases are identified. Some applications of the presented results to special means and new error estimates for the trapezium and midpoint quadrature formulas are analyzed. The ideas and techniques of the present paper may stimulate further research in the field of integral inequalities.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard Type; Convex-Functions
Kaynak
Ukrainian Mathematical Journal
WoS Q DeÄŸeri
Q4
Scopus Q DeÄŸeri
Q3
Cilt
73
Sayı
9
