Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems
From MaRDI portal
Publication:2317546
DOI10.1007/s13398-018-0591-zzbMath1435.40005OpenAlexW2896510777WikidataQ129062801 ScholiaQ129062801MaRDI QIDQ2317546
Badriah A. S. Alamri, Syed Abdul Mohiuddine
Publication date: 12 August 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-018-0591-z
rate of convergencepositive linear operatorsVoronovskaya-type theoremKorovkin-type approximation theoremsweighted lacunary equi-statistical convergence
Convergence and divergence of series and sequences of functions (40A30) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)
Related Items
\(M_{\lambda_{m,n,p}}\)-statistical convergence for triple sequences ⋮ Blending type approximation by \(\tau\)-Baskakov-Durrmeyer type hybrid operators ⋮ Approximation of functions by Dunkl-type generalization of Szász-Durrmeyer operators based on \((p,q)\)-integers ⋮ Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems ⋮ Approximation by bivariate generalized Bernstein-Schurer operators and associated GBS operators ⋮ Statistical convergence in measure for double sequences of fuzzy-valued functions ⋮ On statistical convergence and strong Cesàro convergence by moduli for double sequences ⋮ Lacunary statistical boundedness on time scales ⋮ A-statistically localized sequences in n-normed spaces ⋮ Generalized Difference Sequence Spaces of Fractional Order Defined by Orlicz Functions ⋮ Unnamed Item ⋮ Approximation of functions by a class of Durrmeyer-Stancu type operators which includes Euler's beta function ⋮ ON $\mathcal{I}_{2}$ AND $\mathcal{I}_{2}^{\ast}$-CONVERGENCE IN ALMOST SURELY OF COMPLEX UNCERTAIN DOUBLE SEQUENCES ⋮ Statistical probability convergence via the deferred Nörlund mean and its applications to approximation theorems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximation process based on parametric generalization of Schurer-Kantorovich operators and their bivariate form ⋮ Some Korovkin type approximation applications of power series methods ⋮ Some Tauberian theorems for the weighted mean method of summability of double sequences ⋮ Multidimensional sliding window Pringsheim convergence for measurable functions ⋮ Applications of statistically probability convergence to approximation theorem ⋮ Uniform convergence of Fourier series via deferred Cesàro mean and its applications ⋮ Approximation by α$$ \alpha $$‐Bernstein–Schurer operators and shape preserving properties via q$$ q $$‐analogue ⋮ On asymptotically lacunary statistical equivalent of order α˜ of difference double sequences ⋮ Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator ⋮ Approximation by Szász-Jakimovski-Leviatan-type operators via aid of Appell polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some results on Wijsman ideal convergence in intuitionistic fuzzy metric spaces ⋮ Unnamed Item ⋮ Approximation of functions by a new class of generalized Bernstein-Schurer operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On \(\mu \)-deferred statistical convergence and strongly deferred summable functions ⋮ Unnamed Item ⋮ Approximation by modified Meyer-König and Zeller operators via power series summability method ⋮ Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A numerical comparative study of generalized Bernstein-Kantorovich operators ⋮ \(f\)-asymptotically lacunary ideal equivalence of double sequences ⋮ Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus ⋮ On statistical convergence and strong Cesàro convergence by moduli ⋮ Approximation on a class of Szász-Mirakyan operators via second kind of beta operators ⋮ Approximation on a class of Phillips operators generated by \(q\)-analogue ⋮ Approximation via equi-statistical convergence in the sense of power series method ⋮ Dunkl-type generalization of the second kind beta operators via \((p, Q)\)-calculus ⋮ Regularly ideal invariant convergence of double sequences ⋮ Generalized weighted statistical convergence for double sequences of fuzzy numbers and associated Korovkin-type approximation theorem ⋮ $\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems ⋮ Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems ⋮ Difference sequence spaces based on Lucas band matrix and modulus function ⋮ Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle
Cites Work
- Unnamed Item
- Unnamed Item
- Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem
- Generalized weighted random convergence in probability
- On weighted statistical convergence based on \((p,q)\)-integers and related approximation theorems for functions of two variables
- Some weighted equi-statistical convergence and Korovkin type-theorem
- Korovkin second theorem via statistical summability \((C,1)\)
- Weighted statistical convergence and its application to Korovkin type approximation theorem
- On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence
- A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
- Statistical summability and approximation by de la Vallée-Poussin mean
- An application of almost convergence in approximation theorems
- \(\Lambda^{2}\)-weighted statistical convergence and Korovkin and Voronovskaya type theorems
- Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems
- Statistical convergence and ideal convergence for sequences of functions
- Korovkin type approximation theorems obtained through generalized statistical convergence
- Lacunary equi-statistical convergence of positive linear operators
- Lacunary statistical convergence
- Some approximation theorems via statistical convergence.
- Weighted lacunary statistical convergence
- Weighted equi-statistical convergence of the Korovkin type approximation theorems
- Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems
- Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems
- Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
- Generalized equi-statistical convergence of positive linear operators and associated approximation theorems
- Generalized weighted statistical convergence and application
- Operators constructed by means of \(q\)-Lagrange polynomials and \(A\)-statistical approximation
- Generalized Cesàro difference sequence spaces of non-absolute type involving lacunary sequences
- Equi-statistical convergence of positive linear operators
- The generalization of Meyer-König and Zeller operators by generating functions
- Bernsteinsche Potenzreihen
- ON STATISTICAL CONVERGENCE
- Some Cesàro-Type Summability Spaces
- A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
- Lacunary statistical convergence and strongly lacunary summable functions of order α
- Statistical (C,1) (E,1) summability and Korovkin’s theorem
- Korovkin type approximation theorems via lacunary equistatistical convergence
- Quality control by sampling
- Sur la convergence statistique
This page was built for publication: Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems
