12 citations · 37 across the 19 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.CA2016
Log-concavity and Turán-type inequalities for the generalized hypergeometric function
S. I. Kalmykov, D. B. Karp
The paper studies logarithmic convexity and concavity of the generalized hypergeometric function with respect to simultaneous shift of several parameters. We use integral represent…
math.CV2016
Bernstein- and Markov-type inequalities for rational functions
Sergei Kalmykov, Béla Nagy, Vilmos Totik
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions on smooth Jordan curves and arcs. The results are formulated in terms of t…
math.CV2016
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…