On the convergence properties of kantorovich-szász type operators involving tangent polynomials
Bu çalışmada, Tanjant polinomlarını içeren Kantorovich-Szász tipli operatörlerin bir varyantı oluşturulup, Korovkin teoremi kullanılarak bu operatörün yakınsaklık özellikleri tahmin edilmiştir.
Ağyüz, Erkan
core
On the order of approximation by modified summation-integral-type operators based on two parameters
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
doaj +1 more source
Novel Bernstein‐Kantorovich Type Operators
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Approximation theorems for Kantorovich type Lupaș-Stancu operators based on \(q\)-integers
In this paper, we introduce a Kantorovich generalization of q-Stancu-Lupa¸s operators and investigate their approximation properties. The rate of convergence of these operators are obtained by means of modulus of continuity, functions of Lipschitz class
Sevilay Kirci Serenbay +1 more
doaj +2 more sources
Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation
ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
wiley +1 more source
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Approximation properties of (p;q)-variant of Stancu-Schurer operators
In this article, we have introduced (p;q)-variant of Stancu-Schurer operators and discussed the rate of convergence for continuous functions. We have also discussed recursive estimates, Korovkin-type theorems and direct approximation results using second
_ Deepmala, Abdul Wafi, Nadeem Rao
core +1 more source
Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog
This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman +4 more
wiley +1 more source
Approximation of Multiple Stancu‐Type Bernstein Operators
In this paper, we introduce a new class of multiple Stancu‐type Bernstein operators defined via Beta function based integral modification. We study their approximation properties and establish uniform convergence by means of Korovkin′s theorem under suitable conditions on the parameter αη.
Mehmet Ali Özarslan +3 more
wiley +1 more source
On a New Class of Quantum Sequences of Szász Wavelet Operators and Convergence in Lp Spaces
This work establishes the approximation properties of a new family of q‐Szász–Mirakjan operators on continuous functions over [0, ∞) using wavelet analysis. Alongside constructing these q‐Szász–type operators, we introduce their Kantorovich variants to evaluate Lp‐approximation performance 1 ≤ p < ∞.
Md. Nasiruzzaman +4 more
wiley +1 more source

