Results 11 to 20 of about 8,450 (282)
Sums of powers of consecutive q-integers [PDF]
, 2005 We give the q-analogue of the sums of the n-th powers of positive integers up to k-1.
Taekyun Kim
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On the least common multiple of random q-integers [PDF]
Research in Number Theory, 2021 AbstractFor every positive integer n and for every $$\alpha \in [0, 1]$$ α ∈ [ 0 , 1 ] , let $${\mathcal {B}}(n, \alpha )$$
Carlo Sanna
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Some bivariate Durrmeyer operators based on q-integers [PDF]
Journal of Mathematical Inequalities, 2017 Summary: 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. Also, a Voronovskaja type theorem has been investigated for these operators.
Dan Bărbosu +2 more
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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.
Amelia Carolina Sparavigna
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Efficient q-integer linear decomposition of multivariate polynomials [PDF]
Journal of Symbolic Computation, 2021 We present two new algorithms for the computation of the q-integer linear decomposition of a multivariate polynomial. Such a decomposition is essential for the treatment of q-hypergeometric symbolic summation via creative telescoping and for describing the q-counterpart of Ore-Sato theory.
Mark Giesbrecht +3 more
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ON THE ADDITIVE GROUP OF q-INTEGERS
, 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
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Szász-Baskakov type operators based on q-integers [PDF]
Journal of Inequalities and Applications, 2014 Abstract In the present paper, we introduce the q-analog of the Stancu variant of Szász-Baskakov operators. We establish the moments of the operators by using the q-derivatives and then prove the basic convergence theorem. Next, the Voronovskaja type theorem and some direct results for the above operators are discussed.
Agrawal, Purshottam N. +2 more
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Note on the sums of powers of consecutive $q$-integers [PDF]
, 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.
Yılmaz Şimşek +3 more
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Statistical approximation properties of λ-Bernstein operators based on q-integers [PDF]
Open Mathematics, 2019 Abstract In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of these operators to f(x).
Qing‐Bo Cai, Guorong Zhou, Junjie Li
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Rational Operators Based on q-Integers
Results in Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amato Umberto, Della Vecchia Biancamaria
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