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New Fractional Inequalities of Hermite-Hadamard Type Involving the Incomplete Gamma Functions

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Kashuri, Artion
dc.contributor.author Hamasalh, Faraidun
dc.contributor.author Agarwal, Praveen
dc.contributor.author Mohammed, Pshtiwan Othman
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2022-07-07T11:45:31Z
dc.date.accessioned 2025-09-18T12:08:46Z
dc.date.available 2022-07-07T11:45:31Z
dc.date.available 2025-09-18T12:08:46Z
dc.date.issued 2020
dc.description Mohammed, Pshtiwan/0000-0001-6837-8075; Abdeljawad, Thabet/0000-0002-8889-3768; Agarwal, Praveen/0000-0001-7556-8942; Hamasalh, Faraidun/0000-0001-8437-9043 en_US
dc.description.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. en_US
dc.description.sponsorship Prince Sultan University [RG-DES-2017-01-17] en_US
dc.description.sponsorship The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. en_US
dc.identifier.citation Mohammed, Pshtiwan Othman...et al. (2020). "New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions", Journal of Inequalities and Applications, Vol. 2020, No. 1. en_US
dc.identifier.doi 10.1186/s13660-020-02538-y
dc.identifier.issn 1029-242X
dc.identifier.scopus 2-s2.0-85098216388
dc.identifier.uri https://doi.org/10.1186/s13660-020-02538-y
dc.identifier.uri https://hdl.handle.net/20.500.12416/11219
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Journal of Inequalities and Applications
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Riemann&#8211 en_US
dc.subject Liouville Fractional Integral en_US
dc.subject Hermite&#8211 en_US
dc.subject Hadamard Inequality en_US
dc.subject Incomplete Gamma Function en_US
dc.subject Bessel Function en_US
dc.subject Q-Digamma Function en_US
dc.title New Fractional Inequalities of Hermite-Hadamard Type Involving the Incomplete Gamma Functions en_US
dc.title New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions tr_TR
dc.type Article en_US
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gdc.author.id Mohammed, Pshtiwan/0000-0001-6837-8075
gdc.author.id Abdeljawad, Thabet/0000-0002-8889-3768
gdc.author.id Agarwal, Praveen/0000-0001-7556-8942
gdc.author.id Hamasalh, Faraidun/0000-0001-8437-9043
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Kashuri, Artion/L-5876-2018
gdc.author.wosid Hamasalh, Faraidun/Aaa-5793-2022
gdc.author.wosid Mohammed, Pshtiwan/Aaj-4673-2020
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.wosid Agarwal, Praveen/I-7327-2012
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gdc.coar.access open access
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Mohammed, Pshtiwan Othman; Hamasalh, Faraidun] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Baleanu, Dumitru] Inst Space Sci, MG-23, R-76900 Magurele, Romania; [Kashuri, Artion] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania; [Agarwal, Praveen] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India; [Agarwal, Praveen] Int Ctr Basic & Appl Sci, Jaipur 302029, Rajasthan, India; [Agarwal, Praveen] Harish Chandra Res Inst, Dept Math, Allahabad 211019, Uttar Pradesh, India; [Agarwal, Praveen] Netaji Subhas Univ Technol Dwarka, Dept Math, Sect 3, Delhi 110078, India en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.volume 2020 en_US
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gdc.oaire.keywords Geometry
gdc.oaire.keywords Convex Functions
gdc.oaire.keywords Matrix Inequalities and Geometric Means
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Orthogonal Polynomials
gdc.oaire.keywords q-digamma function
gdc.oaire.keywords Fractional Integrals
gdc.oaire.keywords Convex function
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Bessel function
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Hadamard transform
gdc.oaire.keywords Hermite polynomials
gdc.oaire.keywords Ecology
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Incomplete gamma function
gdc.oaire.keywords Hermite–Hadamard inequality
gdc.oaire.keywords Regular polygon
gdc.oaire.keywords Gamma Function
gdc.oaire.keywords Inequality
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Gamma function
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Hermite-Hadamard Inequalities
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Riemann–Liouville fractional integral
gdc.oaire.keywords Hypergeometric Functions
gdc.oaire.keywords \(q\)-digamma function
gdc.oaire.keywords incomplete gamma function
gdc.oaire.keywords Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
gdc.oaire.keywords Hermite-Hadamard inequality
gdc.oaire.keywords Riemann-Liouville fractional integral
gdc.oaire.keywords Inequalities involving other types of functions
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gdc.virtual.author Baleanu, Dumitru
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