New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

Pshtiwan Othman Mohammed; Thabet Abdeljawad; Dumitru Baleanu; Artion Kashuri; Faraidun Hamasalh; Praveen Agarwal

doi:10.1186/s13660-020-02538-y

New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

Pshtiwan Othman Mohammed
, Thabet Abdeljawad
, Dumitru Baleanu
, Artion Kashuri
, Faraidun Hamasalh
, Praveen Agarwal

University of Sulaimani
Prince Sultan University (PSU)
China Medical University Taichung
Asia University Taiwan
Cankaya University
Institute for Space Sciences
University of Vlorë
International College of Engineering
International Center for Basic and Applied Sciences
Harish Chandra Research Institute
Netaji Subhas University of Technology

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

34 Scopus citations

Abstract

A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

Original language	English
Article number	263
Journal	Journal of Inequalities and Applications
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13660-020-02538-y
State	Published - 2020
Externally published	Yes

Keywords

Bessel function
Hermite–Hadamard inequality
Incomplete gamma function
Riemann–Liouville fractional integral
q-digamma function

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10.1186/s13660-020-02538-y

Cite this

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title = "New fractional inequalities of Hermite{\textendash}Hadamard type involving the incomplete gamma functions",

abstract = "A specific type of convex functions is discussed. By examining this, we investigate new Hermite{\textendash}Hadamard type integral inequalities for the Riemann{\textendash}Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.",

keywords = "Bessel function, Hermite{\textendash}Hadamard inequality, Incomplete gamma function, Riemann{\textendash}Liouville fractional integral, q-digamma function",

author = "Mohammed, \{Pshtiwan Othman\} and Thabet Abdeljawad and Dumitru Baleanu and Artion Kashuri and Faraidun Hamasalh and Praveen Agarwal",

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AU - Mohammed, Pshtiwan Othman

AU - Abdeljawad, Thabet

AU - Baleanu, Dumitru

AU - Kashuri, Artion

AU - Hamasalh, Faraidun

AU - Agarwal, Praveen

PY - 2020

Y1 - 2020

N2 - A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

AB - A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

KW - Bessel function

KW - Hermite–Hadamard inequality

KW - Incomplete gamma function

KW - Riemann–Liouville fractional integral

KW - q-digamma function

UR - https://www.scopus.com/pages/publications/85098216388

U2 - 10.1186/s13660-020-02538-y

DO - 10.1186/s13660-020-02538-y

M3 - Article

AN - SCOPUS:85098216388

SN - 1025-5834

VL - 2020

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 263

ER -

New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

Abstract

Keywords

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