Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Praveen Agarwal; Mohamed Jleli; Muharrem Tomar

doi:10.1186/s13660-017-1318-y

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Praveen Agarwal
, Mohamed Jleli
, Muharrem Tomar

International College of Engineering
King Saud University
Ordu University

Research output: Contribution to journal › Article › peer-review

110 Scopus citations

Abstract

Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named (k, s) -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

Original language	English
Article number	55
Journal	Journal of Inequalities and Applications
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13660-017-1318-y
State	Published - 1 Dec 2017
Externally published	Yes

Keywords

(k, s) -Riemann-Liouville fractional integral
(k, s) -fractional integral
Hermite-Hadamard inequality
generalized k-fractional integral

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10.1186/s13660-017-1318-y

Cite this

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abstract = "Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named (k, s) -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.",

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AU - Tomar, Muharrem

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Y1 - 2017/12/1

N2 - Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named (k, s) -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

AB - Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named (k, s) -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

KW - (k, s) -Riemann-Liouville fractional integral

KW - (k, s) -fractional integral

KW - Hermite-Hadamard inequality

KW - generalized k-fractional integral

UR - https://www.scopus.com/pages/publications/85014532274

U2 - 10.1186/s13660-017-1318-y

DO - 10.1186/s13660-017-1318-y

M3 - Article

AN - SCOPUS:85014532274

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VL - 2017

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 55

ER -

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Abstract

Keywords

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