On Polya-Szego and Cebysev Type Inequalities Via Generalized K-Fractional Integrals
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
Abstract
In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k > 0, present some new important inequalities of Polya-Szego and Cebysev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.
Description
Keywords
Polya-Szego Inequality, Cebysev Inequality, Generalized Fractional Integral, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Fractional Integrals, Differential equation, Čebyšev inequality, QA1-939, FOS: Mathematics, Generalized fractional integral, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, Applied Mathematics, Fractional calculus, Partial differential equation, Applied mathematics, Chemistry, Pólya–Szegö inequality, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Repressor, Transcription factor, Type (biology), Mathematics, Ordinary differential equation, Pólya-Sszegö inequality, Fractional derivatives and integrals, generalized fractional integral, Inequalities involving derivatives and differential and integral operators, Chebyshev inequality, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Rashid, Saima...et al. (2020). "On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
27
Source
Advances in Difference Equations
Volume
2020
Issue
1
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End Page
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Citations
CrossRef : 23
Scopus : 65
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Mendeley Readers : 2
SCOPUS™ Citations
65
checked on Feb 26, 2026
Web of Science™ Citations
69
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2
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