Results 11 to 20 of about 3,124,594 (207)
High relative accuracy with matrices of q‐integers [PDF]
Numerical Linear Algebra with Applications, 2021 This 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 ...
J. Delgado, H. Orera, J. M. Peña
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ON THE ADDITIVE GROUP OF q-INTEGERS [PDF]
, 2018 Here we will show that the q-integers, that we can find in the q-calculus, are forming an additive group having a generalized sum, which is similar to sum of the Tsallis q-entropy of two independent systems.
Amelia Carolina Sparavigna
semanticscholar +3 more sources
The q-Integers and the Mersenne Numbers [PDF]
SSRN Electronic Journal, 2018 Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-integers will be studied too.
Sparavigna, Amelia Carolina +1 more
openaire +4 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 ...
Dan Barbosu, A. Acu, C. Muraru
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On convergence properties of gamma-Stancu operators based on q-integers [PDF]
Mathematical Inequalities & Applications, 2016 . In this paper we introduce Stancu type generalization of Gamma operators based on the concept of q -integers. We fi rst establish local approximation theorems for these operators.
Ozge Dalmanoglu, Mediha Örkcü
semanticscholar +5 more sources
Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
doaj +3 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.
Trapti Neer, P. Agrawal, S. Araci
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Some bivariate Durrmeyer operators based on q-integers [PDF]
Journal of Mathematical Inequalities, 2017 In the present paper we introduce a q -analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined.
Dan Barbosu, C. Muraru, A. Acu
semanticscholar +2 more sources
General Gamma type operators based on q-integers
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Karsli, P. Agrawal, Meenu Goyal
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On the generalized sum of the symmetric q-integers [PDF]
, 2018 Here we will show that the symmetric q-integers of the q-calculus have a generalized sum which is also the generalized sum that we find in the \kappa-calculus proposed by G. Kaniadakis.
Sparavigna, Amelia Carolina +1 more
openaire +2 more sources