The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's K - functional for these operators.
📌 3 Key Takeaways
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Objective & Hypothesis:The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's K - functional for these operators.
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Key Findings & Data:The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's K - functional for these operators.
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Conclusion & Impact:The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's K - functional for these operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite polynomial · Kantorovich type generalization · Modulus of continuity
Abstract
The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre's K - functional for these operators.
Yazıcı, S., Çekim, B. (2017). A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials. Gazi University Journal of Science, Volume: 30 Issue: 4. https://ajindex.com/articles/1269345
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