3 citations · 4 across the 4 of their papers we have counts for
6 papers
Bernstein- and Markov-type inequalities
Sergei Kalmykov, Béla Nagy, Vilmos Totik
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.
Continuity of logarithmic capacity
Sergei Kalmykov, Leonid V. Kovalev
We prove the continuity of logarithmic capacity under Hausdorff convergence of uniformly perfect planar sets. The continuity holds when the Hausdorff distance to the limit set tend…
Inequalities for some basic hypergeometric functions
S. I. Kalmykov, D. B. Karp
We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric function with respect simultaneous shi…
New identities for a sum of products of the Kummer functions
S. I. Kalmykov, D. B. Karp
Recently, Feng, Kuznetsov and Yang discovered a very general reduction formula for a sum of products of the generalized hypergeometric functions (J. Math. Anal. Appl. 443(2016), 11…
Extremal decomposition problems for p-harmonic radius
Sergei Kalmykov, Elena Prilepkina
We extend classical results by Lavrent'ev and Kufarev concerning the product of the conformal radii of planar non-overlapping domains. We also extend relatively recent results for…
Log-convexity and log-concavity for series in gamma ratios and applications
S. I. Kalmykov, D. B. Karp
Polynomial sequence is -logarithmically concave if is a polynomial with nonnegative coefficients for any . We introduce an an…