An extension by means of ω -weighted classes of the generalized riemann-liouville k-fractional integral inequalities

P. Agarwal; J. E. Restrepo; J. Pečarić

doi:10.7153/jmi-2020-14-03

An extension by means of ω -weighted classes of the generalized riemann-liouville k-fractional integral inequalities

P. Agarwal
, J. E. Restrepo
, J. Pečarić

International College of Engineering
Netaji Subhas University of Technology
Harish Chandra Research Institute
International Center for Basic and Applied Sciences
Southern Federal University

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

16 Scopus citations

Abstract

In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k- type fractional integral operator R_ω [f](t), which is introduced here by using the ω -weighted classes. Then we establish some new ω -weighted Pólya-Szegö type integral inequalities and ω -weighted fractional integral inequalities, which are the an analog of the recently published results [1].

Original language	English
Pages (from-to)	35-46
Number of pages	12
Journal	Journal of Mathematical Inequalities
Volume	14
Issue number	1
DOIs	https://doi.org/10.7153/jmi-2020-14-03
State	Published - 1 Mar 2020
Externally published	Yes

Keywords

Chebyshev functional
Integral inequalities
Pólya and szegö type inequalities
Riemann- liouville k-fractional integral operator
ω -Weighted classes

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title = "An extension by means of ω -weighted classes of the generalized riemann-liouville k-fractional integral inequalities",

abstract = "In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k- type fractional integral operator Rω [f](t), which is introduced here by using the ω -weighted classes. Then we establish some new ω -weighted P{\'o}lya-Szeg{\"o} type integral inequalities and ω -weighted fractional integral inequalities, which are the an analog of the recently published results [1].",

keywords = "Chebyshev functional, Integral inequalities, P{\'o}lya and szeg{\"o} type inequalities, Riemann- liouville k-fractional integral operator, ω -Weighted classes",

author = "P. Agarwal and Restrepo, \{J. E.\} and J. Pe{\v c}ari{\'c}",

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year = "2020",

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AU - Agarwal, P.

AU - Restrepo, J. E.

AU - Pečarić, J.

N1 - Publisher Copyright: © ELEMENT, Zagreb.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k- type fractional integral operator Rω [f](t), which is introduced here by using the ω -weighted classes. Then we establish some new ω -weighted Pólya-Szegö type integral inequalities and ω -weighted fractional integral inequalities, which are the an analog of the recently published results [1].

AB - In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k- type fractional integral operator Rω [f](t), which is introduced here by using the ω -weighted classes. Then we establish some new ω -weighted Pólya-Szegö type integral inequalities and ω -weighted fractional integral inequalities, which are the an analog of the recently published results [1].

KW - Chebyshev functional

KW - Integral inequalities

KW - Pólya and szegö type inequalities

KW - Riemann- liouville k-fractional integral operator

KW - ω -Weighted classes

UR - https://www.scopus.com/pages/publications/85084004802

U2 - 10.7153/jmi-2020-14-03

DO - 10.7153/jmi-2020-14-03

M3 - Article

AN - SCOPUS:85084004802

SN - 1846-579X

VL - 14

SP - 35

EP - 46

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 1

ER -

An extension by means of ω -weighted classes of the generalized riemann-liouville k-fractional integral inequalities

Abstract

Keywords

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