Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

• Autorzy: Erhan Set , Abdurrahman Gözpinar
• Języki publikacji: EN

Abstrakty

EN

In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.

Słowa kluczowe

EN

Hermite-Hadamard inequality; Riemann-Liouville fractional integral; fractional integral operator

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals
• 26A33: Fractional derivatives and integrals
• 26D10: Inequalities involving derivatives and differential and integral operators
• 33B20: Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)

• Wydawca: De Gruyter Open
• Czasopismo: Topological Algebra and its Applications
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 55-62

Daty

wydano

2016-08-01

otrzymano

2017-07-18

zaakceptowano

2017-12-11

online

2017-12-29

Twórcy

autor

Erhan Set

• ,

autor

Abdurrahman Gözpinar

• ,

Identyfikatory

DOI

10.1515/taa-2017-0009