Results 31 to 40 of about 9,566 (254)
On convergence properties of gamma-Stancu operators based on q-integers [PDF]
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
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New families of Fibonacci and Lucas octonions with $$Q-$$integer components
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
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Hyper Relative Order (p, q) of Entire Functions
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
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A new type of Szász–Mirakjan operators based on q-integers
AbstractIn 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 $\Phi _{n,q}(t^{m};x)$ Φ n , q
Pembe Sabancigil +2 more
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A Note on the q-Euler Measures
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
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Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
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
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On certain GBS-Durrmeyer operators based on $q$-integers
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
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
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
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(p,q)-Generalization of Szasz-Mirakyan Operators
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
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$q$-Rationals and Finite Schubert Varieties
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
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