On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators
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Dosyalar
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in terms of s-convex mappings, at most second derivative through the instrument of generalized fractional integral operator and a considerable amount of results for special means. The results of this study which are the generalization of those given in earlier works are obtained for functions f where vertical bar f'vertical bar and vertical bar f ''vertical bar (or vertical bar f'vertical bar(q) and vertical bar f ''vertical bar(q) for q >= 1) are s-convex hold by applying the Holder inequality and the power mean inequality.
Açıklama
SET, ERHAN/0000-0003-1364-5396
WOS: 000461179400013
WOS: 000461179400013
Anahtar Kelimeler
Hermite-Hadamard inequality, trapezoid inequality, fractional integral operators, s-convex function
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
32
Sayı
6
