New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
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Abstract
Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Holder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.
Description
Eldeeb, Ahmed/0000-0003-2822-4092
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Keywords
Opial-Type Inequality, Dynamic Inequality, Convexity, Time Scale, 26D10, 26D15, 26E70, 34A40, Scale (ratio), opial-type inequality, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Operator Inequalities, Convex function, FOS: Mathematics, Time Scales, Jensen's inequality, dynamic inequality, convexity, Applied Mathematics, Physics, FOS: Clinical medicine, time scale, Pure mathematics, Paleontology, Geology, FOS: Earth and related environmental sciences, Stability of Functional Equations in Mathematical Analysis, Discrete mathematics, Applied mathematics, Convex optimization, Regular polygon, Convex analysis, Inequality, Dentistry, Physical Sciences, Medicine, Calculus (dental), Type (biology), Mathematics
Fields of Science
01 natural sciences, 0101 mathematics
Citation
El-Deeb, Ahmed A.; Baleanu, Dumitru (2020). "New Weighted Opial-Type Inequalities on Time Scales for Convex Functions", Symmetry-Basel, Vol. 12, No. 5.
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8
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12
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5
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842
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