New integral inequalities for s-convex functions of the second sense via the caputo fractional derivative and the caputo–fabrizio integral operator
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mountain Mathematics Consortium
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator. Some generalizations of the Hermite–Hadamard type inequalities including the Caputo–Fabrizio integral operator are expressed for the functions whose derivatives are s-convex. Moreover, some inequalities involving these fractional operators are stated for the product of these functions. Inequalities involving special means and the digamma function are given as applications.
Açıklama
Anahtar Kelimeler
Caputo Fractional Derivatives, Caputo–Fabrizio Integral Operator, Convex Functions, Hermite–Hadamard Type Inequality, S-convexity, Specials Means
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
53
Sayı
4
