Results 21 to 30 of about 12,311,211 (322)

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

open access: yes, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim   +25 more
core   +2 more sources

A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus

open access: yesJournal of Inequalities and Applications, 2018
Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz, Mehmet Acikgoz
doaj   +1 more source

The combinatorics of Bernstein functions [PDF]

open access: yesTransactions of the American Mathematical Society, 2000
A construction of Bernstein associates to each cocharacter of a split p p -adic group an element in the center of the Iwahori-Hecke algebra, which we refer to as a Bernstein function. A recent conjecture of Kottwitz predicts that Bernstein functions play an important role in the theory of bad reduction of a certain class of Shimura ...
openaire   +2 more sources

The Bernstein Mechanism: Function Release under Differential Privacy [PDF]

open access: yesAAAI Conference on Artificial Intelligence, 2015
We address the problem of general function release under differential privacy, by developing a functional mechanism that applies under the weak assumptions of oracle access to target function evaluation and sensitivity.
Francesco Aldà   +1 more
semanticscholar   +1 more source

Quantum algorithms for testing and learning Boolean functions [PDF]

open access: yes, 2013
We discuss quantum algorithms based on the Bernstein-Vazirani algorithm for finding which input variables a Boolean function depends on. There are 2(n) possible linear Boolean functions of n input variables; given a linear Boolean function, the Bernstein-
Andersson, Anna Erika Elisabeth   +2 more
core   +1 more source

Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue

open access: yesSpecial Matrices, 2020
Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
doaj   +1 more source

An integral representation and properties of Bernoulli numbers of the second kind [PDF]

open access: yes, 2013
In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\infty)$.Comment: 9 ...
Qi, Feng
core   +1 more source

RAD51 Gene Family Structure and Function.

open access: yesAnnual Review of Genetics, 2020
Accurate DNA repair and replication are critical for genomic stability and cancer prevention. RAD51 and its gene family are key regulators of DNA fidelity through diverse roles in double-strand break repair, replication stress, and meiosis.
Braulio Bonilla   +3 more
semanticscholar   +1 more source

Matrix inequalities via Bernstein functions

open access: yesAnnals of Functional Analysis, 2022
The authors obtain a variety of matrix norm inequalities involving Bernstein functions, i.e., nonnegative, \(C^{\infty}\) functions defined on \((0, \infty)\), with completely monotone derivative. They prove that for \(f\) a Bernstein function, \(A,B\) positive definite matrices, \(X\) a complex matrix, all matrices of size \(n\times n\), we have ...
Amir Ghazanfari, Mohammad Sababheh
openaire   +2 more sources

Ensemble Postprocessing Using Quantile Function Regression Based on Neural Networks and Bernstein Polynomials

open access: yesMonthly Weather Review, 2019
The value of ensemble forecasts is well documented. However, postprocessing by statistical methods is usually required to make forecasts reliable in a probabilistic sense. In this work a flexible statistical method for making probabilistic forecasts in
J. Bremnes
semanticscholar   +1 more source

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