Results 41 to 50 of about 183,031 (208)
Hermite-Hadamard type inequalities for Wright-convex functions of several variables
, 2014 We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
Wasowicz, Sz., Śliwińska, D.
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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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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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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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On the Sublinear Convergence Rate of Multi-Block ADMM
, 2015 The alternating direction method of multipliers (ADMM) is widely used in solving structured convex optimization problems. Despite of its success in practice, the convergence properties of the standard ADMM for minimizing the sum of $N$ $(N\geq 3)$ convex
Lin, Tianyi +2 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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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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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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