Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals

Muharrem Tomar; Praveen Agarwal; Shilpi Jain; Gradimir V. Milovanović

doi:10.1007/978-3-319-67053-9_29

Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals

Muharrem Tomar
, Praveen Agarwal
, Shilpi Jain
, Gradimir V. Milovanović

Ordu University
International College of Engineering
Poornima College of Engineering
Mathematical Institute of the Serbian Academy of Sciences and Arts

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we aim to present the improved version of the reverse Hölder type inequalities by taking (k, s) - Riemann-Liouville fractional integrals. Furthermore, we also discuss some applications of Theorem 1 using some types of fractional integrals.

Original language	English
Title of host publication	Functional Analysis in Interdisciplinary Applications
Editors	Erlan D. Nursultanov, Tynysbek Sh. Kalmenov, Makhmud A. Sadybekov, Michael V. Ruzhansky
Publisher	Springer New York LLC
Pages	302-311
Number of pages	10
ISBN (Print)	9783319670522
DOIs	https://doi.org/10.1007/978-3-319-67053-9_29
State	Published - 2017
Externally published	Yes
Event	International Conference on Functional analysis in interdisciplinary applications, FAIA 2017 - Astana, Kazakhstan Duration: 2 Oct 2017 → 5 Oct 2017

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	216
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Functional analysis in interdisciplinary applications, FAIA 2017
Country/Territory	Kazakhstan
City	Astana
Period	2/10/17 → 5/10/17

Keywords

(k, s) - Riemann-Liouville fractional integrals
Holder inequality
Reverse Holder inequality

Access to Document

10.1007/978-3-319-67053-9_29

Cite this

Tomar, M., Agarwal, P., Jain, S., & Milovanović, G. V. (2017). Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals. In E. D. Nursultanov, T. S. Kalmenov, M. A. Sadybekov, & M. V. Ruzhansky (Eds.), Functional Analysis in Interdisciplinary Applications (pp. 302-311). (Springer Proceedings in Mathematics and Statistics; Vol. 216). Springer New York LLC. https://doi.org/10.1007/978-3-319-67053-9_29

Tomar, Muharrem ; Agarwal, Praveen ; Jain, Shilpi et al. / Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals. Functional Analysis in Interdisciplinary Applications. editor / Erlan D. Nursultanov ; Tynysbek Sh. Kalmenov ; Makhmud A. Sadybekov ; Michael V. Ruzhansky. Springer New York LLC, 2017. pp. 302-311 (Springer Proceedings in Mathematics and Statistics).

@inproceedings{aa346094e44643b1841bfff4634593f3,

title = "Some Reverse H{\"o}lder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals",

abstract = "In this paper, we aim to present the improved version of the reverse H{\"o}lder type inequalities by taking (k, s) - Riemann-Liouville fractional integrals. Furthermore, we also discuss some applications of Theorem 1 using some types of fractional integrals.",

keywords = "(k, s) - Riemann-Liouville fractional integrals, Holder inequality, Reverse Holder inequality",

author = "Muharrem Tomar and Praveen Agarwal and Shilpi Jain and Milovanovi{\'c}, \{Gradimir V.\}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; International Conference on Functional analysis in interdisciplinary applications, FAIA 2017 ; Conference date: 02-10-2017 Through 05-10-2017",

year = "2017",

doi = "10.1007/978-3-319-67053-9\_29",

language = "English",

isbn = "9783319670522",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "302--311",

editor = "Nursultanov, \{Erlan D.\} and Kalmenov, \{Tynysbek Sh.\} and Sadybekov, \{Makhmud A.\} and Ruzhansky, \{Michael V.\}",

booktitle = "Functional Analysis in Interdisciplinary Applications",

}

Tomar, M, Agarwal, P, Jain, S & Milovanović, GV 2017, Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals. in ED Nursultanov, TS Kalmenov, MA Sadybekov & MV Ruzhansky (eds), Functional Analysis in Interdisciplinary Applications. Springer Proceedings in Mathematics and Statistics, vol. 216, Springer New York LLC, pp. 302-311, International Conference on Functional analysis in interdisciplinary applications, FAIA 2017, Astana, Kazakhstan, 2/10/17. https://doi.org/10.1007/978-3-319-67053-9_29

Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals. / Tomar, Muharrem; Agarwal, Praveen; Jain, Shilpi et al.
Functional Analysis in Interdisciplinary Applications. ed. / Erlan D. Nursultanov; Tynysbek Sh. Kalmenov; Makhmud A. Sadybekov; Michael V. Ruzhansky. Springer New York LLC, 2017. p. 302-311 (Springer Proceedings in Mathematics and Statistics; Vol. 216).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals

AU - Tomar, Muharrem

AU - Agarwal, Praveen

AU - Jain, Shilpi

AU - Milovanović, Gradimir V.

PY - 2017

Y1 - 2017

N2 - In this paper, we aim to present the improved version of the reverse Hölder type inequalities by taking (k, s) - Riemann-Liouville fractional integrals. Furthermore, we also discuss some applications of Theorem 1 using some types of fractional integrals.

AB - In this paper, we aim to present the improved version of the reverse Hölder type inequalities by taking (k, s) - Riemann-Liouville fractional integrals. Furthermore, we also discuss some applications of Theorem 1 using some types of fractional integrals.

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

KW - Holder inequality

KW - Reverse Holder inequality

UR - https://www.scopus.com/pages/publications/85041374547

U2 - 10.1007/978-3-319-67053-9_29

DO - 10.1007/978-3-319-67053-9_29

M3 - Conference contribution

AN - SCOPUS:85041374547

SN - 9783319670522

T3 - Springer Proceedings in Mathematics and Statistics

SP - 302

EP - 311

BT - Functional Analysis in Interdisciplinary Applications

A2 - Nursultanov, Erlan D.

A2 - Kalmenov, Tynysbek Sh.

A2 - Sadybekov, Makhmud A.

A2 - Ruzhansky, Michael V.

PB - Springer New York LLC

T2 - International Conference on Functional analysis in interdisciplinary applications, FAIA 2017

Y2 - 2 October 2017 through 5 October 2017

ER -

Tomar M, Agarwal P, Jain S, Milovanović GV. Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals. In Nursultanov ED, Kalmenov TS, Sadybekov MA, Ruzhansky MV, editors, Functional Analysis in Interdisciplinary Applications. Springer New York LLC. 2017. p. 302-311. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-319-67053-9_29

Some Reverse Hölder Type Inequalities Involving (k, s) - Riemann-Liouville Fractional Integrals

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this