On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals

Hüseyin Budak; Praveen Agarwal

doi:10.1007/978-981-15-0430-3_13

On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals

Hüseyin Budak
, Praveen Agarwal

International College of Engineering
Duzce University

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

3 Scopus citations

Abstract

In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies.

Original language	English
Title of host publication	Fractional Calculus - ICFDA 2018
Editors	Praveen Agarwal, Praveen Agarwal, Praveen Agarwal, Dumitru Baleanu, YangQuan Chen, Shaher Momani, José António Tenreiro Machado
Publisher	Springer
Pages	227-249
Number of pages	23
ISBN (Print)	9789811504297
DOIs	https://doi.org/10.1007/978-981-15-0430-3_13
State	Published - 2019
Externally published	Yes
Event	International Conference on Fractional Differentiation and its Applications, ICFDA 2018 - Amman, Jordan Duration: 16 Jul 2018 → 18 Jul 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	303
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Fractional Differentiation and its Applications, ICFDA 2018
Country/Territory	Jordan
City	Amman
Period	16/07/18 → 18/07/18

Keywords

Coordinated convex
Generalized fractional integral
Hermite–Hadamard’s inequalities
Integral inequalities

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10.1007/978-981-15-0430-3_13

Cite this

Budak, H., & Agarwal, P. (2019). On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals. In P. Agarwal, P. Agarwal, P. Agarwal, D. Baleanu, Y. Chen, S. Momani, & J. A. T. Machado (Eds.), Fractional Calculus - ICFDA 2018 (pp. 227-249). (Springer Proceedings in Mathematics and Statistics; Vol. 303). Springer. https://doi.org/10.1007/978-981-15-0430-3_13

Budak, Hüseyin ; Agarwal, Praveen. / On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals. Fractional Calculus - ICFDA 2018. editor / Praveen Agarwal ; Praveen Agarwal ; Praveen Agarwal ; Dumitru Baleanu ; YangQuan Chen ; Shaher Momani ; José António Tenreiro Machado. Springer, 2019. pp. 227-249 (Springer Proceedings in Mathematics and Statistics).

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title = "On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals",

abstract = "In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies.",

keywords = "Coordinated convex, Generalized fractional integral, Hermite–Hadamard{\textquoteright}s inequalities, Integral inequalities",

author = "H{\"u}seyin Budak and Praveen Agarwal",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Singapore Pte Ltd.; International Conference on Fractional Differentiation and its Applications, ICFDA 2018 ; Conference date: 16-07-2018 Through 18-07-2018",

year = "2019",

doi = "10.1007/978-981-15-0430-3\_13",

language = "English",

isbn = "9789811504297",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "227--249",

editor = "Praveen Agarwal and Praveen Agarwal and Praveen Agarwal and Dumitru Baleanu and YangQuan Chen and Shaher Momani and Machado, \{Jos{\'e} Ant{\'o}nio Tenreiro\}",

booktitle = "Fractional Calculus - ICFDA 2018",

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}

Budak, H & Agarwal, P 2019, On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals. in P Agarwal, P Agarwal, P Agarwal, D Baleanu, Y Chen, S Momani & JAT Machado (eds), Fractional Calculus - ICFDA 2018. Springer Proceedings in Mathematics and Statistics, vol. 303, Springer, pp. 227-249, International Conference on Fractional Differentiation and its Applications, ICFDA 2018, Amman, Jordan, 16/07/18. https://doi.org/10.1007/978-981-15-0430-3_13

On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals. / Budak, Hüseyin; Agarwal, Praveen.
Fractional Calculus - ICFDA 2018. ed. / Praveen Agarwal; Praveen Agarwal; Praveen Agarwal; Dumitru Baleanu; YangQuan Chen; Shaher Momani; José António Tenreiro Machado. Springer, 2019. p. 227-249 (Springer Proceedings in Mathematics and Statistics; Vol. 303).

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

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AU - Budak, Hüseyin

AU - Agarwal, Praveen

PY - 2019

Y1 - 2019

N2 - In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies.

AB - In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies.

KW - Coordinated convex

KW - Generalized fractional integral

KW - Hermite–Hadamard’s inequalities

KW - Integral inequalities

UR - https://www.scopus.com/pages/publications/85076749321

U2 - 10.1007/978-981-15-0430-3_13

DO - 10.1007/978-981-15-0430-3_13

M3 - Conference contribution

AN - SCOPUS:85076749321

SN - 9789811504297

T3 - Springer Proceedings in Mathematics and Statistics

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A2 - Agarwal, Praveen

A2 - Baleanu, Dumitru

A2 - Chen, YangQuan

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A2 - Machado, José António Tenreiro

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Budak H, Agarwal P. On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals. In Agarwal P, Agarwal P, Agarwal P, Baleanu D, Chen Y, Momani S, Machado JAT, editors, Fractional Calculus - ICFDA 2018. Springer. 2019. p. 227-249. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-981-15-0430-3_13

On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals

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