Results 31 to 40 of about 13,789 (256)
Around Jensen’s inequality for strongly convex functions [PDF]
Aequationes mathematicae, 2017 In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special means are pointed out as well. We also give a Jensen's operator inequality for strongly convex functions.
Moradi, Hamid Reza +3 more
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Journal of Mathematics, 2021 Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex ...
Xishan Yu +3 more
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Criteria for a certain class of the Carathéodory functions and their applications
Journal of Inequalities and Applications, 2020 In this paper, we obtain some potentially useful conditions (or criteria) for the Carathéodory functions as a certain class of analytic functions by applying Nunokawa’s lemma.
Nak Eun Cho +3 more
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Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
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New Criteria for Meromorphic Starlikeness and Close-to-Convexity
Mathematics, 2020 The main purpose of current paper is to obtain some new criteria for meromorphic strongly starlike functions of order α and strongly close-to-convexity of order α .
Ali Ebadian +3 more
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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New Inequalities for Strongly r-Convex Functions
Journal of Function Spaces, 2019 In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions.
Huriye Kadakal
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Strongly Reciprocally p-Convex Functions and Some Inequalities
Journal of Mathematics, 2020 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-
Hao Li +3 more
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Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions
Annales Mathematicae Silesianae, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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On strongly generalized convex functions
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
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