Results 21 to 30 of about 8,549 (260)

Uniform approximation by polynomials with integer coefficients [PDF]

Opuscula Mathematica, 2016
Let \(r\), \(n\) be positive integers with \(n\ge 6r\). Let \(P\) be a polynomial of degree at most \(n\) on \([0,1]\) with real coefficients, such that \(P^{(k)}(0)/k!\) and \(P^{(k)}(1)/k!\) are integers for \(k=0,\dots,r-1\).
Artur Lipnicki
doaj   +1 more source

On convergence properties of gamma-Stancu operators based on q-integers [PDF]

Mathematical Inequalities & Applications, 2016
In this paper, the authors introduce a Stancu type generalization of the gamma operators based on \(q\)-integers. They estimate local approximation theorems for these operators.and also study weighted approximation properties along with Voronovskaya type result.
ÖRKCÜ, MEDİHA, Dalmanoglu, Ozge
openaire   +4 more sources

Convergence of λ-Bernstein operators based on (p, q)-integers [PDF]

Journal of Inequalities and Applications, 2020
AbstractIn the present paper, we construct a new class of positive linearλ-Bernstein operators based on (p,q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception ofK-functional and moduli of continuity, and also give a convergence theorem for the Lipschitz continuous ...
Qing-Bo Cai, Wen-Tao Cheng
openaire   +2 more sources

q-Riemann zeta function

International Journal of Mathematics and Mathematical Sciences, 2004
We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)=∑n=1∞(qn(s−1)/[n]s ...
Taekyun Kim
doaj   +1 more source

New families of Fibonacci and Lucas octonions with $$Q-$$integer components

Indian Journal of Pure and Applied Mathematics, 2021
In this paper, authors presented $q$-Fibonacci octonions and $q$-Lucas octonions. These elements are defined by using $q$-integers. They found some interesting properties of these elements such as Binet formulas, exponential generating functions, summation formulas, Cassini identities, Catalan identities and d'Ocagne identities.
Can Kızılateş, Emrah Polatlı
openaire   +2 more sources

The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ [PDF]

Mathematica Bohemica
Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv3\pmod8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$.
Moha Ben Taleb El Hamam
doaj   +1 more source

RSA: A number of formulas to improve the search for p+qp+q

Journal of Mathematical Cryptology, 2017
Breaking RSA is one of the fundamental problems in cryptography. Due to its reliance on the difficulty of the integer factorization problem, no efficient solution has been found despite decades of extensive research. One of the possible ways to break RSA
Mohammed Ahmed, Alkhelaifi Abdulrahman
doaj   +1 more source

General Gamma type operators based on q-integers

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harun Karsli, P. N. Agrawal, Meenu Goyal
openaire   +1 more source

Some notes about power residues modulo prime

Revista Integración, 2022
Let q be a prime. We classify the odd primes p ≠ q such that the equation x2 ≡ q (mod p) has a solution, concretely, we find a subgroup L4q of the multiplicative group U4q of integers relatively prime with 4q (modulo 4q) such that x2 ≡ q (mod p) has a ...
Diego Alejandro Mejía Guzmán, Yuki Kiriu   +1 more
doaj  

A new generalization of Leonardo hybrid numbers with q-integers

Indian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources