Results 31 to 40 of about 8,549 (260)
High relative accuracy with matrices of q‐integers
Numerical Linear Algebra with Applications, 2021 AbstractThis article shows that the bidiagonal decomposition of many important matrices of q‐integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices.
Jorge Delgado 0001 +2 more
openaire +4 more sources
Stancu-Durrmeyer Type Operators Based on q-Integers
Applied Mathematics & Information Sciences, 2017 In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem and approximation for a Lipschitz type space.
Neer T., Agrawal P.N., Araci S.
openaire +2 more sources
On certain GBS-Durrmeyer operators based on $q$-integers
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: In the present paper we introduce the GBS (Generalized Boolean Sum) operators of Durrmeyer type based on \(q\)-integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is ...
Băbosu, Dan +2 more
openaire +3 more sources
Hyper Relative Order (p, q) of Entire Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
doaj +1 more source
On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
doaj +1 more source
Note on the sums of powers of consecutive $q$-integers
, 2005 In this paper we construct the $q$-analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the $q$-analogue of the sums of powers of consecutive integers.
Simsek, Y. +3 more
openaire +3 more sources
A Note on the q-Euler Measures
Advances in Difference Equations, 2009 Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q-ℓ-series which interpolate q-Euler numbers at negative ...
Taekyun Kim +2 more
doaj +1 more source
Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 All minimal irreducible solvable subgroups of the group GL(q,{Z}_{p}) (q is a prime, {Z}_{p} is the ring of rational $p$-adic integers) are described up to conjugation for p ...
О. А. Кирилюк
doaj +1 more source
$q$-Rationals and Finite Schubert Varieties
Comptes Rendus. Mathématique, 2023 The classical $q$-analogue of the integers was recently generalized by Morier-Genoud and Ovsienko to give $q$-analogues of rational numbers. Some combinatorial interpretations are already known, namely as the rank generating functions for certain ...
Ovenhouse, Nicholas
doaj +1 more source
Some equinumerous pattern-avoiding classes of permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Suppose that p,q,r,s are non-negative integers with m=p+q+r+s. The class X(p,q,r,s) of permutations that contain no pattern of the form αβγ where |α|=r, |γ|=s and β is any arrangement of {1,2,…,p}∪{m-q+1, m-q+2, …,m} is considered.
M. D. Atkinson
doaj +2 more sources