Д. В. Горбачев

748 total citations
72 papers, 395 citations indexed

About

Д. В. Горбачев is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Д. В. Горбачев has authored 72 papers receiving a total of 395 indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Applied Mathematics, 22 papers in Mathematical Physics and 19 papers in Numerical Analysis. Recurrent topics in Д. В. Горбачев's work include Mathematical Analysis and Transform Methods (22 papers), Mathematical functions and polynomials (20 papers) and Mathematical Approximation and Integration (19 papers). Д. В. Горбачев is often cited by papers focused on Mathematical Analysis and Transform Methods (22 papers), Mathematical functions and polynomials (20 papers) and Mathematical Approximation and Integration (19 papers). Д. В. Горбачев collaborates with scholars based in Russia, Spain and United States. Д. В. Горбачев's co-authors include Sergey Tikhonov, В. И. Иванов, Elijah Liflyand, Laura De Carli, Feng Dai, V. Yu. Rud’, Chang‐Feng Dai, I. V. Bodnar, Andriy Bondarenko and Yu. V. Rud and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society and SIAM Journal on Mathematical Analysis.

In The Last Decade

Д. В. Горбачев

60 papers receiving 325 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Д. В. Горбачев Russia	12	318	162	87	23	22	72	395
В. И. Иванов Russia	9	226 0.7×	107 0.7×	73 0.8×	39 1.7×	10 0.5×	91	317
В. Ф. Бабенко Ukraine	8	197 0.6×	63 0.4×	178 2.0×	78 3.4×	28 1.3×	102	287
Yoram Sagher United States	11	424 1.3×	240 1.5×	57 0.7×	58 2.5×	20 0.9×	47	466
A. S. Romanyuk Ukraine	11	156 0.5×	33 0.2×	317 3.6×	41 1.8×	16 0.7×	47	345
Natalia Zorii Ukraine	10	149 0.5×	124 0.8×	89 1.0×	4 0.2×	46 2.1×	43	258
António M. Caetano Portugal	12	292 0.9×	159 1.0×	83 1.0×	14 0.6×	18 0.8×	32	318
Douglas S. Kurtz United States	13	570 1.8×	302 1.9×	85 1.0×	32 1.4×	19 0.9×	30	620
H. P. Heinig Canada	9	335 1.1×	152 0.9×	45 0.5×	15 0.7×	17 0.8×	21	356
Aleš Nekvinda Czechia	10	472 1.5×	270 1.7×	23 0.3×	19 0.8×	30 1.4×	37	515
Kenneth Andersen Canada	7	274 0.9×	157 1.0×	27 0.3×	12 0.5×	20 0.9×	9	332

Countries citing papers authored by Д. В. Горбачев

Since Specialization

Citations

This map shows the geographic impact of Д. В. Горбачев's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Д. В. Горбачев with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Д. В. Горбачев more than expected).

Fields of papers citing papers by Д. В. Горбачев

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Д. В. Горбачев. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Д. В. Горбачев. The network helps show where Д. В. Горбачев may publish in the future.

Co-authorship network of co-authors of Д. В. Горбачев

This figure shows the co-authorship network connecting the top 25 collaborators of Д. В. Горбачев. A scholar is included among the top collaborators of Д. В. Горбачев based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Д. В. Горбачев. Д. В. Горбачев is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Горбачев, Д. В., et al.. (2024). New Conditions for the Convergence of a Weak Greedy Algorithm. Mathematical Notes. 116(3-4). 566–570.

Горбачев, Д. В., В. И. Иванов, & Sergey Tikhonov. (2023). On the kernel of the -Generalized fourier transform. Forum of Mathematics Sigma. 11. 2 indexed citations

Горбачев, Д. В.. (2022). Bernstein Inequality in $$L^p$$ on the Line with Power Weight for $$p>0$$. Mathematical Notes. 111(1-2). 308–311.

Горбачев, Д. В., et al.. (2022). Delsarte problem for 4-designs on the unit 3-sphere. Чебышевский сборник. 23(4). 157–161.

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2020). Weighted gradient inequalities and unique continuation problems. RECERCAT (Consorci de Serveis Universitaris de Catalunya).

Dai, Feng, Д. В. Горбачев, & Sergey Tikhonov. (2020). Nikolskii constants for polynomials on the unit sphere. Journal d Analyse Mathématique. 140(1). 161–185. 10 indexed citations

Горбачев, Д. В. & В. И. Иванов. (2020). Nikol’skii–Bernstein Constants for Entire Functions of Exponential Spherical Type in Weighted Spaces. Proceedings of the Steklov Institute of Mathematics. 309(S1). S24–S35. 4 indexed citations

Горбачев, Д. В., et al.. (2019). Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem. Sbornik Mathematics. 210(6). 809–835. 3 indexed citations

Dai, Chang‐Feng, Д. В. Горбачев, & Sergey Tikhonov. (2019). Nikolskii inequality for lacunary spherical polynomials. Proceedings of the American Mathematical Society. 148(3). 1169–1174. 2 indexed citations

10.

Горбачев, Д. В., et al.. (2018). НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ. Чебышевский сборник. 18(4). 139–166. 2 indexed citations

11.

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2017). Pitt inequalities and restriction theorems for the Fourier transform. RECERCAT (Consorci de Serveis Universitaris de Catalunya). 11 indexed citations

12.

Горбачев, Д. В. & В. И. Иванов. (2016). Approximation in L 2 by partial integrals of the Fourier transform over the eigenfunctions of the Sturm–Liouville operator. Mathematical Notes. 100(3-4). 540–549. 2 indexed citations

13.

Горбачев, Д. В., et al.. (2016). The Delsarte extremal problem for the Jacobi transform. Mathematical Notes. 100(5-6). 677–686. 6 indexed citations

14.

Горбачев, Д. В., В. И. Иванов, & Sergey Tikhonov. (2015). Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in L2. Journal of Approximation Theory. 202. 109–118. 17 indexed citations

15.

Горбачев, Д. В., et al.. (2014). Optimal argument in the sharp Jackson inequality in the space L 2 with hyperbolic weight. Mathematical Notes. 96(5-6). 904–913. 13 indexed citations

16.

Carli, Laura De, Д. В. Горбачев, & Sergey Tikhonov. (2013). Pitt and Boas inequalities for Fourier and Hankel transforms. Journal of Mathematical Analysis and Applications. 408(2). 762–774. 12 indexed citations

17.

Bondarenko, Andriy & Д. В. Горбачев. (2012). Minimal weighted 4-designs on the sphere S 2. Mathematical Notes. 91(5-6). 738–741. 1 indexed citations

18.

Горбачев, Д. В. & Sergey Tikhonov. (2012). Moduli of smoothness and growth properties of Fourier transforms: Two-sided estimates. Journal of Approximation Theory. 164(9). 1283–1312. 29 indexed citations

19.

Горбачев, Д. В., et al.. (2006). On an extremal problem for periodic functions with small support. Mathematical Notes. 80(5-6). 881–884. 1 indexed citations

20.

Горбачев, Д. В.. (1999). The sharp Jackson inequality in the spaceL p on the sphere. Mathematical Notes. 66(1). 40–50. 3 indexed citations

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