30 citations · 82 across the 10 of their papers we have counts for
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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…
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…
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…
On the Constants and Extremal Function and Sequence for Hardy Inequalities in and
Ivan Gadjev
We study the behavior of the smallest possible constants and in Hardy inequalities $$ \int_a^b\left(\frac{1}{x}\int_a^xf(t)dt\right)^p\,dx\leq d(a,b)\,\int_a^b [f(x)…
Sharp Hardy's Inequalities in Hilbert Spaces
Dimitar K. Dimitrov, Ivan Gadjev, Mourad E. H. Ismail
We study the behavior of the smallest possible constants and in Hardy's inequalities $$ \int_a^b\left(\frac{1}{x}\int_a^xf(t)dt\right)^2\,dx\leq d(a,b)\,\int_a^b [f(…
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…