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Strongly Reciprocally p-Convex Functions and Some Inequalities

وظائف p - Convex متبادلة بقوة وبعض المتباينات
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 04 Sep 2020 English Publisher:WileyJournal:Journal of Mathematics, volume 2,020, pages 1-9 (issn: 2314-4629, eissn: 2314-4785, Copyright policy )
Authors: Hao Li; Muhammad Shoaib Saleem; Ijaz Hussain; Muhammad Imran;

doi: 10.1155/2020/4957141 , 10.60692/6qf3v-6yy33 , 10.60692/j2syt-m7v37

Strongly Reciprocally p-Convex Functions and Some Inequalities

Abstract

In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the strongly reciprocally p-convex functions.

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Keywords

Financial economics, Ecology, Economics, Applied Mathematics, Geometry, Convex Functions, Stability of Functional Equations in Mathematical Analysis, Matrix Inequalities and Geometric Means, Algorithm, Regular polygon, Convexity, Convex function, Combinatorics, FOS: Biological sciences, Physical Sciences, QA1-939, FOS: Mathematics, Type (biology), Biology, Mathematics

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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!
2
Average
Average
Average
gold