ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIAFRACTIONAL INTEGRALS

Yıl 2014, Cilt: 2 Sayı: 1, 55 - 67, 01.06.2014

İMDAT İşcan

https://doi.org/10.36753/mathenot.207633

Cited By: 12

Öz

In this paper, a new general identity for differentiable mappingsvia Riemann-Liouville fractional integrals has been defined. By using of thisidentity, author has obtained new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives inabsolutely value at certain powers are s-convex in the second sense

Anahtar Kelimeler

Hermite-Hadamard inequality, Riemann-Liouville fractional integral, Ostrowski inequality, Simpson type inequality, s-convex function

Kaynakça

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• Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Gire- sun, Turkey
• E-mail address: [e-mail]