Weighted approximation by Baskakov operators

Gadjev, Ivan

doi:10.7153/mia-18-112

Search citation statements

Order By: Relevance

Paper Sections

Select...

Results1

Introduction For | T |< 1 Let Us Consider the Expansion1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2023

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The inequality (8) was proved in [21, page 136], [15,Lemma 2.2] and [18, page 365-366] under the restriction 0 < a < 1 and b > 0. The same restrictions were considered in [10].…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Baskakov operators and Jacobi weights: pointwise estimates

2021

View full text Add to dashboard Cite

show abstract

“…The inequality (8) was proved in [21, page 136], [15,Lemma 2.2] and [18, page 365-366] under the restriction 0 < a < 1 and b > 0. The same restrictions were considered in [10].…”

Section: Resultsmentioning

confidence: 99%

“…The inequality(13) was proved in[8, Lemma 6] for α = 0, b ∈ R, and a ∈ [-1, 0]. For a = b = 0 the inequality (13) was also proved in [19, page 106-107].…”

mentioning

confidence: 93%

Baskakov operators and Jacobi weights: pointwise estimates

2021

View full text Add to dashboard Cite

show abstract

“…Problem.Can the rate of convergence to zero of B a n (f )−f be estimated as it was done in [3] or [5] for Baskakov operators? This problem will be study in a another paper.…”

Section: Introduction For | T |< 1 Let Us Consider the Expansionmentioning

confidence: 99%

Approximation of functions and Mihesan operators

Bustamante

2023

MFC

View full text Add to dashboard Cite

<p style='text-indent:20px;'>For real numbers <inline-formula><tex-math id="M1">\begin{document}$ a,q\geq 0 $\end{document}</tex-math></inline-formula> and a weight <inline-formula><tex-math id="M2">\begin{document}$ \varrho(x) = 1/(1+x)^q $\end{document}</tex-math></inline-formula>, the author provides necessary and sufficient conditions for a function <inline-formula><tex-math id="M3">\begin{document}$ f\in C[0,\infty) $\end{document}</tex-math></inline-formula> in order to <inline-formula><tex-math id="M4">\begin{document}$ \sup_{x\geq 0}\mid \varrho(x)(B_n^a(f,x)-f(x))\mid \to 0 $\end{document}</tex-math></inline-formula> as <inline-formula><tex-math id="M5">\begin{document}$ n\to \infty $\end{document}</tex-math></inline-formula>, where <inline-formula><tex-math id="M6">\begin{document}$ B_n^a(f) $\end{document}</tex-math></inline-formula> is the Mihesan operator. In particular, it is proved that Mihesan operators behave similar to the classical Baskakov operators.</p>

show abstract

Weighted approximation by Baskakov operators

Cited by 2 publications

References 0 publications

Baskakov operators and Jacobi weights: pointwise estimates

Baskakov operators and Jacobi weights: pointwise estimates

Approximation of functions and Mihesan operators

Contact Info

Product

Resources

About