Results 11 to 20 of about 580,671 (251)
On generalization of Levinson’s inequality involving averages of 3-convex functions
Journal of Inequalities and Applications, 2023 By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol.
G. Aras-Gazić +2 more
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M-Convex Function on Generalized Polymatroid [PDF]
Mathematics of Operations Research, 1999 The concept of M-convex function, introduced by Murota (1996), is a quantitative generalization of the set of integral points in an integral base polyhedron as well as an extension of valuated matroid of Dress and Wenzel (1990). In this paper, we extend this concept to functions on generalized polymatroids with a view to providing a unified framework ...
Murota, Kazuo, Shioura, Akiyoshi
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On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
Axioms, 2023 In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it.
Hari Mohan Srivastava +5 more
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Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions
Journal of Inequalities and Applications, 2020 In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals ...
Xiaoli Qiang +3 more
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Hadamard type inequalities for m–convex and (α, m)–convex functions via fractional integrals [PDF]
AIP Conference Proceedings, 2018 In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ( ,m)-convex functions via Riemann-Liouville fractional integrals.
Ozdemir, M. Emin +3 more
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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Advances in Difference Equations, 2021 This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined ( α , h − m ) $(\alpha ,h-m)$ -convex function. The established results give refinements of fractional integral inequalities for ( h − m ) $(
Chahn Yong Jung +4 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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Convexity properties of the condition number [PDF]
, 2009 We define in the space of n by m matrices of rank n, n less or equal than m, the condition Riemannian structure as follows: For a given matrix A the tangent space of A is equipped with the Hermitian inner product obtained by multiplying the usual ...
Beltrán, Carlos +3 more
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Generalized k-fractional integral inequalities associated with (α,m) $(\alpha ,m)$-convex functions
Journal of Inequalities and Applications, 2019 This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using (α,m) $(\alpha ,m)$-convex functions.
S. M. Kang +5 more
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