On (k; r) -type fractional integral inequalities

Praveen Agarwal; Junesang Choi; Shilpi Jain

doi:10.17654/MS100111877

On (k; r) -type fractional integral inequalities

Praveen Agarwal
, Junesang Choi
, Shilpi Jain

International College of Engineering
Dongguk University
Poornima College of Engineering

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

Abstract

Many inequalities involving Riemann-Liouville, Erdélyi-Kober, and k-fractional integrals are available in literature. In this paper, we present certain inequalities associated with the recently introduced generalized (k; r)-fractional integrals of Riemann-Liouville type.

Original language	English
Pages (from-to)	1877-1889
Number of pages	13
Journal	Far East Journal of Mathematical Sciences
Volume	100
Issue number	11
DOIs	https://doi.org/10.17654/MS100111877
State	Published - Dec 2016
Externally published	Yes

Keywords

Extended Čhebyšhev functional
Fractional integral operators
Generalized Riemann-Liouville k
Integral inequalities
R-fractional integral

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10.17654/MS100111877

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title = "On (k; r) -type fractional integral inequalities",

abstract = "Many inequalities involving Riemann-Liouville, Erd{\'e}lyi-Kober, and k-fractional integrals are available in literature. In this paper, we present certain inequalities associated with the recently introduced generalized (k; r)-fractional integrals of Riemann-Liouville type.",

keywords = "Extended {\v C}heby{\v s}hev functional, Fractional integral operators, Generalized Riemann-Liouville k, Integral inequalities, R-fractional integral",

author = "Praveen Agarwal and Junesang Choi and Shilpi Jain",

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year = "2016",

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T1 - On (k; r) -type fractional integral inequalities

AU - Agarwal, Praveen

AU - Choi, Junesang

AU - Jain, Shilpi

PY - 2016/12

Y1 - 2016/12

N2 - Many inequalities involving Riemann-Liouville, Erdélyi-Kober, and k-fractional integrals are available in literature. In this paper, we present certain inequalities associated with the recently introduced generalized (k; r)-fractional integrals of Riemann-Liouville type.

AB - Many inequalities involving Riemann-Liouville, Erdélyi-Kober, and k-fractional integrals are available in literature. In this paper, we present certain inequalities associated with the recently introduced generalized (k; r)-fractional integrals of Riemann-Liouville type.

KW - Extended Čhebyšhev functional

KW - Fractional integral operators

KW - Generalized Riemann-Liouville k

KW - Integral inequalities

KW - R-fractional integral

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DO - 10.17654/MS100111877

M3 - Article

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SP - 1877

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JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

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ER -

On (k; r) -type fractional integral inequalities

Abstract

Keywords

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