New Discrete Inequalities of Hermite-Hadamard Type for Convex Functions
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Date
2021
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Abstract
We introduce new time scales on Z. Based on this, we investigate the discrete inequality of Hermite-Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite-Hadamard type for the discrete convex functions involving the left nabla and right delta fractional sums.
Description
Mohammed, Pshtiwan/0000-0001-6837-8075; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Time Scale, Hermite-Hadamard Inequality, Convex Functions, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Differential equation, Convex function, Nabla symbol, QA1-939, FOS: Mathematics, Time Scales, Time scale, Jensen's inequality, Biology, Hadamard transform, Hermite polynomials, Omega, Ecology, Convex functions, Applied Mathematics, Physics, Pure mathematics, Convex optimization, Hermite–Hadamard inequality, Regular polygon, Convex analysis, Combinatorics, FOS: Biological sciences, Physical Sciences, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Ordinary differential equation, convex functions, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, time scale, Hermite-Hadamard inequality, Inequalities for sums, series and integrals, Discrete version of topics in analysis, Inequalities involving other types of functions
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Mohammed, Pshtiwan Othman...et al. (2021). "New discrete inequalities of Hermite–Hadamard type for convex functions", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
24
Source
Advances in Difference Equations
Volume
2021
Issue
1
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End Page
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Citations
CrossRef : 21
Scopus : 25
SCOPUS™ Citations
28
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Web of Science™ Citations
24
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2
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