$\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems
DOI10.15672/hujms.796762zbMath1499.40063OpenAlexW3177110635WikidataQ113740099 ScholiaQ113740099MaRDI QIDQ5859804
Publication date: 17 November 2021
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.796762
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Matrix methods for summability (40C05) Linear operators on function spaces (general) (47B38) Approximation by positive operators (41A36)
Cites Work
- Korovkin-type theorems for abstract modular convergence
- Abstract Korovkin-type theorems in modular spaces and applications
- Towards intelligent modeling: statistical approximation theory
- Convergence of positive linear approximation processes
- Orlicz spaces and modular spaces
- Statistical approximation by positive linear operators on modular spaces
- Summation process of positive linear operators
- Quantitative theorems on linear approximation processes of convolution operators in Banach spaces
- Some approximation theorems via statistical convergence.
- Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems
- Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces
- Statistical relative \(\mathcal{A}\)-summation process for double sequences on modular spaces
- Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences
- Statistical \(\mathcal{A}\)-summation process and Korovkin type approximation theorem on modular spaces
- Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence
- Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems
- Relative weighted almost convergence based on fractional-order difference operator in multivariate modular function spaces
- Statistical approximation by double sequences of positive linear operators on modular spaces
- Matrix summability and positive linear operators
- Almost convergence of double sequences and strong regularity of summability matrices
- Statistical limit superior and limit inferior
- Abstract Korovkin type theorems on modular spaces by $\mathscr{A}$-summability
- Korovkin type approximation for double sequences via statistical A-summation process on modular spaces
- Uniformly summable double sequences
- Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
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