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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators

بعض أوجه عدم المساواة في وظائف p - Convex المعممة المتعلقة بمشغلات رينا المتكاملة الجزئية
Authors: Changyue Chen; Muhammad Shoaib Saleem; Muhammad Sajid Zahoor;

Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators

Abstract

Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type inequalities for this class of convex function via Raina’s fractional integral operator.

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Keywords

Artificial intelligence, Class (philosophy), Geometry, Evolutionary biology, Convex Functions, Operator (biology), Matrix Inequalities and Geometric Means, Mathematical analysis, Gene, Biochemistry, Orthogonal Polynomials, Proper convex function, Convex function, QA1-939, FOS: Mathematics, Biology, Hadamard transform, Hermite polynomials, Applied Mathematics, Pure mathematics, Fractional calculus, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Computer science, Convex optimization, Regular polygon, Convex analysis, Chemistry, Function (biology), Physical Sciences, Repressor, Hermite-Hadamard Inequalities, Transcription factor, Mathematics, Hypergeometric Functions

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citations
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!
1
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