Some Approximation Properties of Operators Including Degenerate Appell Polynomials
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Bilge Zehra Sergi
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Bayram Çekim
ABSTRACT
This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre’s 𝒦-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.
The authors would like to thank the editor and referee for their valuable comments which greatly helped improving the clarity and quality of the paper. In addition, they also would like to thank the Scientific and Technological Research Council of Turkey (TÜBİTAK) for the graduate scholarship that supported the first author.
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- Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm
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Artikel in diesem Heft
-
- Regular Double p-Algebras: A Converse to a Katriňák Theorem and Applications
- Uniform Local Connectedness and Completion of Metric σ-Frames
- On Transcendental Regular Continued Fractions
- On Repdigits Which are Sums or Differences of Two k-Pell Numbers
- Peirce Decompositions for Evolution Algebras
- Generalized Anti-Symmetry Laws in Groupoids
- New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications
- Geometric Properties of Generalized Bessel Function Associated with the Exponential Function
- On the Attainable Set of Iterative Differential Inclusions
- On the Differential-Difference Sine-Gordon Equation with an Integral Type Source
- A Critical p(x)-Laplacian Steklov Type Problem with Weights
- Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm
- Some Approximation Properties of Operators Including Degenerate Appell Polynomials
- Operators that are Weakly Coercive and a Compact Perturbation
- On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
- Paracompactness and Open Relations
- On (Strongly) (Θ-)Discrete Homogeneous Spaces
- The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses
- Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds
