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Strongly Convex Functions of Higher Order Involving Bifunction
Mathematics, 2019 Some new concepts of the higher order strongly convex functions involving an arbitrary bifuction are considered in this paper. Some properties of the higher order strongly convex functions are investigated under suitable conditions.
Bandar B. Mohsen +3 more
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Entropy, 2021 In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally,
Humaira Kalsoom +2 more
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Around strongly operator convex functions
Linear Algebra and its Applications15 ...
Nahid Gharakhanlu +1 more
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On strongly $h$-convex functions
Annals of Functional Analysis, 2011 We introduce the notion of strongly $h$-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly $h$-convex functions. Finally, a Hermite-Hadamard-type inequality for strongly $h$-convex functions
Angulo, Hiliana +3 more
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Coordinate strongly s-convex functions and related results [PDF]
Journal of Mathematical Inequalities, 2020 Summary: In this article, we give non-trivial examples of coordinates-convex functions which are not \(s\)-convex functions. Also, we present a new class of coordinate strongly \(s\)-convex functions. We prove that every strongly \(s\)-convex function is coordinate strongly \(s\)-convex function but the converse is not generally true.
Ullah, Syed Zaheer +3 more
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Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities
Journal of Function Spaces, 2022 This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α,h−m-p-convex functions.
Xiujun Zhang +3 more
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Journal of Inequalities and Applications, 2023 In this paper, we investigate the properties of a newly introduced class of functions, strongly reciprocally (p, h)-convex functions of higher order. We establish Hermite–Hadamard-type and Fejér-type inequalities for this class of functions. Additionally,
Han Li +3 more
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Ostrowski-type inequalities for strongly convex functions
Georgian Mathematical Journal, 2017 Abstract In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.
Set, Erhan +3 more
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Some new integral inequalities for higher-order strongly exponentially convex functions
Journal of Inequalities and Applications, 2023 Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of ...
Jaya Bisht +3 more
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An Extended Gradient Method for Smooth and Strongly Convex Functions
Mathematics, 2023 In this work, we introduce an extended gradient method that employs the gradients of the preceding two iterates to construct the search direction for the purpose of solving the centralized and decentralized smooth and strongly convex functions ...
Xuexue Zhang, Sanyang Liu, Nannan Zhao
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