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Monotonicity and extremality analysis of difference operators in Riemann-Liouville family

dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAl-Sarairah, Eman
dc.contributor.authorHamed, Y.S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-12T11:49:07Z
dc.date.available2024-01-12T11:49:07Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we will discuss the monotone decreasing and increasing of a discrete nonpositive and nonnegative function defined on Nr0 +1, respectively, which come from analysing the discrete Riemann-Liouville differences together with two necessary conditions (see Lemmas 2.1 and 2.3). Then, the relative minimum and relative maximum will be obtained in view of these results combined with another condition (see Theorems 2.1 and 2.2). We will modify and reform the main two lemmas by replacing the main condition with a new simpler and stronger condition. For these new lemmas, we will establish similar results related to the relative minimum and relative maximum again. Finally, some examples, figures and tables are reported to demonstrate the applicability of the main lemmas. Furthermore, we will clarify that the first condition in the main first two lemmas is solely not sufficient for the function to be monotone decreasing or increasing.en_US
dc.identifier.citationMohammed, Pshtiwan Othman;...et.al. (2023). "Monotonicity and extremality analysis of difference operators in Riemann-Liouville family", AIMS Mathematics, Vol.8, No.3, pp.5303-5317.en_US
dc.identifier.doi10.3934/math.2023266
dc.identifier.endpage5317en_US
dc.identifier.issn24736988
dc.identifier.issue3en_US
dc.identifier.startpage5303en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6875
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExtremality Analysisen_US
dc.subjectMonotonicity Analysisen_US
dc.subjectRiemann-Liouville Discrete Operatorsen_US
dc.titleMonotonicity and extremality analysis of difference operators in Riemann-Liouville familytr_TR
dc.titleMonotonicity and Extremality Analysis of Difference Operators in Riemann-Liouville Familyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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