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AIMS Mathematics
Article . 2023 . Peer-reviewed
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AIMS Mathematics
Article . 2023
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https://dx.doi.org/10.60692/dq...
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Other literature type . 2023
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Simpson-type inequalities by means of tempered fractional integrals

عدم المساواة من نوع سمبسون عن طريق التكاملات الكسرية المخففة
Authors: Areej A. Almoneef; Abd‐Allah Hyder; Fatih Hezenci; Hüseyın Budak;

Simpson-type inequalities by means of tempered fractional integrals

Abstract

<abstract><p>The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-known Hölder inequality and the inequality of exponent mean. The subsequent STIS are a generalization of several works on this topic that use the fractional integrals of Riemann-Liouville (FIsRL). Moreover, distinctive outcomes can be achieved through unique selections of the parameters.</p></abstract>

Country
Turkey
Keywords

convex functions, Generalization, fractional integrals, Geometry, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Operator Inequalities, Fractional Integrals, Convex function, QA1-939, FOS: Mathematics, simpson-type inequalities, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, tempered fractional integrals, Exponent, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, Linguistics, Applied mathematics, FOS: Philosophy, ethics and religion, Regular polygon, Philosophy, Inequality, riemann-liouville fractional integrals, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, FOS: Languages and literature, Medicine, Calculus (dental), Type (biology), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Top 10%
gold
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