On generalized stochastic fractional integrals and related inequalities

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Budak H., Sarikaya M. Z.

MODERN STOCHASTICS-THEORY AND APPLICATIONS, sa.4, ss.471-481, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2018
• Doi Numarası: 10.15559/18-vmsta117
• Dergi Adı: MODERN STOCHASTICS-THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.471-481
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Kocaeli Üniversitesi Adresli: Hayır

Özet

The generalized mean-square fractional integrals J(rho,lambda,u+;omega)(sigma) and J(rho,lambda,v-;omega)(sigma) of the stochastic process X are introduced. Then, for Jensen-convex and strongly convex stochastic proceses, the generalized fractional Hermite-Hadamard inequality is establish via generalized stochastic fractional integrals.