Margareta Heilmann

455 total citations
35 papers, 238 citations indexed

About

Margareta Heilmann is a scholar working on Statistics and Probability, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Margareta Heilmann has authored 35 papers receiving a total of 238 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Statistics and Probability, 22 papers in Applied Mathematics and 15 papers in Numerical Analysis. Recurrent topics in Margareta Heilmann's work include Approximation Theory and Sequence Spaces (32 papers), Mathematical Approximation and Integration (10 papers) and Holomorphic and Operator Theory (9 papers). Margareta Heilmann is often cited by papers focused on Approximation Theory and Sequence Spaces (32 papers), Mathematical Approximation and Integration (10 papers) and Holomorphic and Operator Theory (9 papers). Margareta Heilmann collaborates with scholars based in Germany, Romania and Bulgaria. Margareta Heilmann's co-authors include Ioan Raşa, Heiner Gonska, Manfred Müller, Ana Maria Acu, Ulrich Abel, Gancho Tachev, Ali̇ Aral, Martin Wagner, Stefan Katzenbeisser and Martin Steinebach and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematical Methods in the Applied Sciences and Journal of Approximation Theory.

In The Last Decade

Margareta Heilmann

31 papers receiving 216 citations

Peers

Margareta Heilmann

MSOR

Ogün Doğru Türkiye

Octavian Agratini Romania

Nurhayat İspir Türkiye

Kejal Khatri India

Bidu Bhusan Jena India

Akif D. Gadjiev Azerbaijan

Salih Aytar Türkiye

Erdi̇nç Dündar Türkiye

Celal Çakan Türkiye

Péter Kórus Hungary

Ogün Doğru Türkiye

Margareta Heilmann

385 ×1.7

230 ×1.4

300 ×2.3

8 ×0.4

48 ×2.8

MSOR

Citations per year, relative to Margareta Heilmann Margareta Heilmann (= 1×) peers Ogün Doğru

Countries citing papers authored by Margareta Heilmann

Since Specialization

Citations

This map shows the geographic impact of Margareta Heilmann'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 Margareta Heilmann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Margareta Heilmann more than expected).

Fields of papers citing papers by Margareta Heilmann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Margareta Heilmann. 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 Margareta Heilmann. The network helps show where Margareta Heilmann may publish in the future.

Co-authorship network of co-authors of Margareta Heilmann

This figure shows the co-authorship network connecting the top 25 collaborators of Margareta Heilmann. A scholar is included among the top collaborators of Margareta Heilmann 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 Margareta Heilmann. Margareta Heilmann 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

Abel, Ulrich, Ana Maria Acu, Margareta Heilmann, & Ioan Raşa. (2024). On Some Cauchy Problems and Positive Linear Operators. Mediterranean Journal of Mathematics. 22(1). 2 indexed citations

Abel, Ulrich, Ana Maria Acu, Margareta Heilmann, & Ioan Raşa. (2024). Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj. Mathematical Methods in the Applied Sciences. 47(18). 13718–13733.

Acu, Ana Maria, et al.. (2024). Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov operators. Applicable Analysis and Discrete Mathematics. 18(2). 408–417. 1 indexed citations

Acu, Ana Maria, et al.. (2023). Poisson approximation to the binomial distribution: extensions to the convergence of positive operators. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 117(4). 9 indexed citations

Acu, Ana Maria, et al.. (2023). Convergence of Linking Durrmeyer-Type Modifications of Generalized Baskakov Operators. Bulletin of the Malaysian Mathematical Sciences Society. 46(3). 1 indexed citations

Abel, Ulrich, Ana Maria Acu, Margareta Heilmann, & Ioan Raşa. (2023). Genuine Bernstein–Durrmeyer type operators preserving 1 and $$x^j$$. Annals of Functional Analysis. 15(1).

Acu, Ana Maria, Margareta Heilmann, & Ioan Raşa. (2023). Some results for the inverse of a Bernstein–Schnabl type operator. Analysis and Mathematical Physics. 13(1).

Acu, Ana Maria, Margareta Heilmann, & Ioan Raşa. (2021). Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II. Positivity. 25(4). 1585–1599. 3 indexed citations

Acu, Ana Maria, Margareta Heilmann, & Ioan Raşa. (2020). Strong Converse Results for Linking Operators and Convex Functions. Journal of Function Spaces. 2020. 1–5. 2 indexed citations

10.

Abel, Ulrich, et al.. (2020). Convergence of linking Baskakov-type operators. Periodica Mathematica Hungarica. 80(2). 280–288. 1 indexed citations

11.

Aral, Ali̇, Heiner Gonska, Margareta Heilmann, & Gancho Tachev. (2016). Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions. Results in Mathematics. 70(3-4). 313–324. 6 indexed citations

12.

Heilmann, Margareta. (2015). Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their $k$th order Kantorovich modification. 44(2). 166–179. 1 indexed citations

13.

Heilmann, Margareta, et al.. (2015). Further Results for kth order Kantorovich Modification of Linking Baskakov Type Operators. Results in Mathematics. 69(3-4). 297–315. 9 indexed citations

14.

Heilmann, Margareta & Ioan Raşa. (2014). On the Decomposition of Bernstein Operators. Numerical Functional Analysis and Optimization. 36(1). 72–85. 5 indexed citations

15.

Gonska, Heiner, Margareta Heilmann, & Ioan Raşa. (2011). Kantorovich Operators of Order k. Numerical Functional Analysis and Optimization. 32(7). 717–738. 37 indexed citations

16.

Gonska, Heiner, Margareta Heilmann, & Ioan Raşa. (2008). Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: C2-estimates. Journal of Approximation Theory. 160(1-2). 243–255. 5 indexed citations

17.

Heilmann, Margareta. (2003). Eigenfunctions of Durrmeyer-type modifications of Meyer–König and Zeller operators. Journal of Approximation Theory. 125(1). 63–73. 5 indexed citations

18.

Heilmann, Margareta. (1995). Explicit Voronovskaja-type results for linear combinations of BDT-operators. Approximation Theory and Its Applications. 11(1). 54–61. 1 indexed citations

19.

Heilmann, Margareta. (1989). Direct and converse results for operators of Baskakov-Durrmeyer type. Approximation Theory and Its Applications. 5(1). 105–127. 51 indexed citations

20.

Heilmann, Margareta. (1988). L-saturation of some modified Bernstein operators. Journal of Approximation Theory. 54(3). 260–273. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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