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New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 Weighted integral inequalities for general integral operators on monotone positive functions with parameters $p$ and $q$ are established in [4]. The aim of this work is to extend the results to different cases of these parameters, in particular for ...
Bouharket Benaissa, Abdelkader Senouci
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Application of Election Functions to Estimate the Number of Monotone Self-Dual Boolean functions
Моделирование и анализ информационных систем, 2022 One of the problems of modern discrete mathematics is R. Dedekind problem on the number of monotone boolean functions. For other precomplete classes, general formulas for the number of functions of the classes had been found, but it has not been found so
Leonid Y. Bystrov, Egor V. Kuzmin
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Integral Inequalities Involving Strictly Monotone Functions
Mathematics, 2023 Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic.
Mohamed Jleli, Bessem Samet
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On Uniform and α-Monotone Discrete Distributions
Revstat Statistical Journal, 2022 In this partly expository article, I am concerned with some simple yet fundamental aspects of discrete distributions that are either uniform or have α-monotone probability mass functions. In the univariate case, building on work of F.W.
M.C. Jones
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Bounds of non-monotone complexity for the multi-valued logic functions
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 The non-monotone complexity of realization of k-valued logic functions by circuits in a special basis was investigated. The basis consists of elements of two types: the first type comprises all monotone functions (with respect to the order 0 < 1 < 2
V.V. Kochergin, A.V. Mikhailovich
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Arab Journal of Mathematical Sciences, 2019 We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their ...
Rafik Aguech, Wissem Jedidi
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Weighted modular inequalities for monotone functions
Journal of Inequalities and Applications, 1997 Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
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APPROXIMATION OF 3-MONOTONE FUNCTIONS BY 3-MONOTONE FUNCTIONS IN Lp SPACES
Journal of Kufa for Mathematics and Computer, 2010 We Obtain a direct theorem for the simultaneous approximation of 3-monotone functions in Lp by splines in Lp .
Eman Samir Bhaya, Rewayda Razaak Mohsin
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Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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Sensitivity Conjecture and Log-rank Conjecture for functions with small alternating numbers [PDF]
, 2016 The Sensitivity Conjecture and the Log-rank Conjecture are among the most important and challenging problems in concrete complexity. Incidentally, the Sensitivity Conjecture is known to hold for monotone functions, and so is the Log-rank Conjecture for ...
Lin, Chengyu, Zhang, Shengyu
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