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20172025
most citedEstimates for the best constant in a Markov -inequality with the assistance of computer algebra

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

math.CA2025

Higher Order Approximation of Continuous Functions by a Modified Meyer-König and Zeller-Type Operator

Ivan Gadjev, Parvan Parvanov, Rumen Uluchev

A new Goodman-Sharma type modification of the Meyer-König and Zeller operator for approximation of bounded continuous functions on [0,1) is presented. We estimate the approximation…

math.CA2024

On a New Modification of Baskakov Operators with Higher Order of Approximation

Ivan Gadjev, Parvan Parvanov, Rumen Uluchev

A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on functions. In our study on the approximation e…

math.CA2024

Higher Order Approximation of Functions by Modified Goodman-Sharma Operators

Ivan Gadjev, Parvan Parvanov, Rumen Uluchev

Here we study the approximation properties of a modified Goodman-Sharma operator recently considered by Acu and Agrawal in 2019. This operator is linear but not positive. It has th…

math.CA2020

Hardy's inequalities in finite dimensional Hilbert spaces

Dimitar K. Dimitrov, Ivan Gadjev, Geno Nikolov +1

We study the behaviour of the smallest possible constants and in Hardy's inequalities $$ \sum_{k=1}^{n}\Big(\frac{1}{k}\sum_{j=1}^{k}a_j\Big)^2\leq d_n\,\sum_{k=1}^{n}a…

math.CA2017★ 1 cited

Estimates for the best constant in a Markov -inequality with the assistance of computer algebra

Geno Nikolov, Rumen Uluchev

We prove two-sided estimates for the best (i.e., the smallest possible) constant in the Markov inequality $$ \|p_n'\|_{w_α} \le c_n(α) \|p_n\|_{w_α}\,, \qquad p_n \in…