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Hermite-Hadamard Type Inequalities Via Fractional Integral of a Function Concerning Another Function

dc.contributor.author Samraiz, Muhammad
dc.contributor.author Perveen, Zahida
dc.contributor.author Iqbal, Sajid
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Rahman, Gauhar
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-05-16T13:11:34Z
dc.date.accessioned 2025-09-18T12:06:44Z
dc.date.available 2022-05-16T13:11:34Z
dc.date.available 2025-09-18T12:06:44Z
dc.date.issued 2021
dc.description Zahida, Dr Zahida Perveen/0009-0002-6040-5619; Rahman, Gauhar/0000-0002-2728-7537 en_US
dc.description.abstract In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems. en_US
dc.identifier.citation Baleanu, Dumitru...et al. (2021). "Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function", AIMS Mathematics, Vol. 6, No. 5, pp. 4280-4295. en_US
dc.identifier.doi 10.3934/math.2021253
dc.identifier.issn 2473-6988
dc.identifier.scopus 2-s2.0-85100514117
dc.identifier.uri https://doi.org/10.3934/math.2021253
dc.identifier.uri https://hdl.handle.net/20.500.12416/10972
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.ispartof AIMS Mathematics
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Hermite-Hadamard-Fejer Inequalities en_US
dc.subject Convex Function en_US
dc.subject Generalized Fractional Integral en_US
dc.subject Mid-Point Inequality en_US
dc.subject Riemann-Liouville en_US
dc.title Hermite-Hadamard Type Inequalities Via Fractional Integral of a Function Concerning Another Function en_US
dc.title Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Zahida, Dr Zahida Perveen/0009-0002-6040-5619
gdc.author.id Rahman, Gauhar/0000-0002-2728-7537
gdc.author.scopusid 7005872966
gdc.author.scopusid 55312134600
gdc.author.scopusid 7801694610
gdc.author.scopusid 58925595700
gdc.author.scopusid 56715663200
gdc.author.scopusid 56167532300
gdc.author.wosid Samraiz, Muhammad/K-8181-2019
gdc.author.wosid Rahman, Dr. Gauhar/Abb-2899-2020
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Nisar, Kottakkaran/F-7559-2015
gdc.author.wosid Zahida, Dr Zahida Perveen/Kzu-0232-2024
gdc.author.wosid Rahman, Gauhar/Aap-7213-2021
gdc.author.yokid 56389
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40250, Taiwan; [Samraiz, Muhammad; Perveen, Zahida] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan; [Iqbal, Sajid] Riphah Int Univ, Dept Math, Faisalabad Campus,Satyana Rd, Faisalabad 38000, Pakistan; [Nisar, Kottakkaran Sooppy] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia; [Rahman, Gauhar] Hazara Univ Mansehra, Dept Math & Stat 5, Dhodial, Pakistan en_US
gdc.description.endpage 4295 en_US
gdc.description.issue 5 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 4280 en_US
gdc.description.volume 6 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Evolutionary biology
gdc.oaire.keywords Matrix Inequalities and Geometric Means
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords riemann-liouville
gdc.oaire.keywords Orthogonal Polynomials
gdc.oaire.keywords Fractional Integrals
gdc.oaire.keywords Riemann integral
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Fourier integral operator
gdc.oaire.keywords Boundary value problem
gdc.oaire.keywords Biology
gdc.oaire.keywords generalized fractional integral
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Hadamard transform
gdc.oaire.keywords Integral equation
gdc.oaire.keywords convex function
gdc.oaire.keywords Hermite polynomials
gdc.oaire.keywords Ecology
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Physics
gdc.oaire.keywords mid-point inequality
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Acoustics
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Identity (music)
gdc.oaire.keywords Function (biology)
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords hermite-hadamard-fejer inequalities
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords Hermite-Hadamard Inequalities
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Riemann-Hilbert Approach
gdc.oaire.keywords Convexity of real functions in one variable, generalizations
gdc.oaire.keywords Riemann-Liouville
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Hermite-Hadamard-Fejer inequalities
gdc.oaire.keywords Inequalities involving derivatives and differential and integral operators
gdc.oaire.keywords Inequalities for sums, series and integrals
gdc.oaire.keywords Inequalities involving other types of functions
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gdc.virtual.author Baleanu, Dumitru
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