72 citations · 345 across the 28 of their papers we have counts for
32 papers
Inequalities in calculus: methods of prooving results and problem solving
Sergei Sitnik, Elina Shishkina, Lidiya Kovaleva +1
This preprint is a text for students and teachers on inequalities. Some standard topics are covered on application of calculus to inequality proving. Many examples are considered,…
On generalizations of discrete and integral Cauchy-Bunyakovskii inequalities by the method of mean values. Some applications
S. M. Sitnik
In this preprint we consider generalizations of discrete and integral Cauchy--Bunyakovskii inequalities by the method of mean values with some applications. Mostly the material is…
Fractional powers of Bessel operator and its numerical calculation
Durdimurod Durdiev, Elina Shishkina, Sergei Sitnik
The article discusses the fractional powers of the Bessel operator and their numerical implementation. An extensive literature is devoted to the study of fractional powers of the L…
On two classes of generalized fractional operators (with short historical survey of fractional calculus)
E. L. Shishkina, S. M. Sitnik
This is a survey paper in two parts. In the first part we list main variants of one-dimensional fractional integrodifferential operators. Also some historical and priority remarks…
On the correctness of finite-rank approximations by series of shifted Gaussians
S. M. Sitnik, A. S. Timashov, S. N. Ushakov
In this paper we consider interpolation problem connected with series by integer shifts of Gaussians. Known approaches for these problems met numerical difficulties. Due to it anot…
The Transmutation Method and Boundary-Value Problems for Singular Differential Equations
V. V. Katrakhov, S. M. Sitnik
The main content of this book is composed from two doctoral theses: by V.\,V.~Katrakhov (1989) and by S.\,M.~Sitnik (2016). In our work, for the first time in the format of a monog…