Results 11 to 20 of about 1,754,330 (293)
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-
Sparavigna, Amelia Carolina +1 more
core +4 more sources
Rational operators based on q-integers [PDF]
Results in Mathematics, 2017 Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained.
Umberto Amato +5 more
core +2 more sources
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.The full citation for this Article is ...
Sparavigna, Amelia Carolina +1 more
core +2 more sources
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 ...
Peña J.M., Delgado J., Orera H.
core +6 more sources
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.The full citation for this Article is: Sparavigna, A. C. (2018).
Sparavigna, Amelia Carolina +1 more
core +2 more sources
Ibragimov–Gadjiev operators based on q-integers [PDF]
Advances in Difference Equations, 2018 In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a ...
Serap Herdem, Ibrahim Büyükyazıcı
doaj +2 more sources
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 +2 more sources
An Elaboration of the Cai-Xu Result on (<i>p</I>, <i>q</I>)-integers
Afrika Matematika, 2020 Ostrovska, Sofiya/0000-0003-1842-7953The investigation of the (p, q)-Bernstein operators put forth the problem of finding the conditions when a sequence of (p, q)-integers tends to infinity.
Ostrovska, Sofiya
core +2 more sources
A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Nazim Mahmudov +5 more
core +4 more sources
A Note on the q-Euler Measures [PDF]
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 +2 more sources