Results 11 to 20 of about 12,151 (308)

Cryptographic properties of monotone Boolean functions [PDF]

open access: yesJournal of Mathematical Cryptology, 2016
We prove various results on monotone Boolean functions. In particular, we prove a conjecture proposed recently, stating that there are no monotone bent Boolean functions.
Carlet Claude   +3 more
doaj   +3 more sources

New characterizations of completely monotone functions and Bernstein functions, a converse to Hausdorff’s moment characterization theorem

open access: yesArab 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
doaj   +3 more sources

New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions [PDF]

open access: yesSahand 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
doaj   +1 more source

Application of Election Functions to Estimate the Number of Monotone Self-Dual Boolean functions

open access: yesМоделирование 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
doaj   +1 more source

Mixture functions and their monotonicity [PDF]

open access: yesInformation Sciences, 2019
We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for ...
Jana Spirková   +3 more
openaire   +4 more sources

Integral Inequalities Involving Strictly Monotone Functions

open access: yesMathematics, 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
doaj   +1 more source

Bounds of non-monotone complexity for the multi-valued logic functions

open access: yesУчёные 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
doaj   +1 more source

On Uniform and α-Monotone Discrete Distributions

open access: yesRevstat 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
doaj   +1 more source

Weighted modular inequalities for monotone functions

open access: yesJournal 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
doaj   +2 more sources

APPROXIMATION OF 3-MONOTONE FUNCTIONS BY 3-MONOTONE FUNCTIONS IN Lp SPACES

open access: yesJournal 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
doaj   +1 more source

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