Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel | Zendy

Hüseyin Budak | Zendy; Mehmet Zeki Sarıkaya | Zendy; Fuat Usta | Zendy; Hüseyin Yıldırım | Zendy

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Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel

Author(s) -

Hüseyin Budak,

Mehmet Zeki Sarıkaya,

Fuat Usta,

Hüseyin Yıldırım

Publication year - 2019

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2019.23.03

Subject(s) - mathematics , hermite polynomials , kernel (algebra) , hadamard transform , exponential type , pure mathematics , type (biology) , exponential function , fractional calculus , convex function , mathematical analysis , regular polygon , algebra over a field , geometry , ecology , biology

We firstly establish Hermite-Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Holder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.

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