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Heilmann, Margareta

Author ID: heilmann.margareta Recent zbMATH articles by "Heilmann, Margareta"
Published as: Heilmann, Margareta; Heilmann, M.; Heilmann, Magareta
External Links: MGP
Documents Indexed: 52 Publications since 1987, including 1 Book and 1 Additional arXiv Preprint
Reviewing Activity: 31 Reviews
Co-Authors: 17 Co-Authors with 40 Joint Publications
251 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 268 times in 178 Documents Cited by Year
Direct and converse results for operators of Baskakov-Durrmeyer type. Zbl 0669.41014
Heilmann, M.
40
1989
Kantorovich operators of order \(k\). Zbl 1236.41023
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
33
2011
The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights. Zbl 1104.41010
Abel, Ulrich; Heilmann, Margareta
14
2004
Commutativity, direct and strong converse results for Philipps operators. Zbl 1269.41005
Heilmann, Margareta; Tachev, Gancho
13
2011
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. Zbl 1375.37016
Heilmann, Margareta; Raşa, Ioan
11
2017
\(L_ p\)-saturation of some modified Bernstein operators. Zbl 0654.41021
Heilmann, Magareta
10
1988
A Nice representation for a link between Baskakov- and Szász-Mirakjan-Durrmeyer operators and their Kantorovich variants. Zbl 1404.41007
Heilmann, Margareta; Raşa, Ioan
10
2019
Further results for \(k\)th order Kantorovich modification of linking Baskakov type operators. Zbl 1339.41030
Baumann, Katharina; Heilmann, Margareta; Raşa, Ioan
9
2016
Asymptotic behaviour of differential Bernstein polynomials revisited. Zbl 1212.41057
Gonska, Heiner; Heilmann, Margareta; Rasa, Ioan
8
2010
\(k\)th order Kantorovich type modification of the operators \(U^{\rho}_n\). Zbl 1358.41017
Heilmann, Margareta; Raşa, Ioan
8
2014
On simultaneous approximation by the method of Baskakov-Durrmeyer operators. Zbl 0644.41013
Heilmann, M.; Müller, M. W.
7
1989
Approximation auf [0,\(\infty)\) durch das Verfahren der Operatoren vom Baskakov-Durrmeyer Typ. (Approximation on [0,\(\infty)\) by the method of Baskakov-Durrmeyer type operators). Zbl 0728.41032
Heilmann, Margareta
7
1987
On the decomposition of Bernstein operators. Zbl 1315.41010
Heilmann, Margareta; Raşa, Ioan
7
2015
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render. Zbl 07752772
Acu, Ana-Maria; Gonska, Heiner; Heilmann, Margareta
7
2021
\(k\)th order Kantorovich modification of linking Baskakov-type operators. Zbl 1337.41010
Heilmann, Margareta; Raşa, Ioan
7
2015
Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type. Zbl 0682.41026
Heilmann, Margareta; Müller, Manfred W.
6
1989
\(C_0\)-semigroups associated with uniquely ergodic Kantorovich modifications of operators. Zbl 1395.37003
Heilmann, Margareta; Raşa, Ioan
6
2018
Quantitative Voronovskaya-type results for polynomially bounded functions. Zbl 1351.41011
Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, Gancho
6
2016
Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators. Zbl 0745.41019
Heilmann, M.; Müller, M. W.
5
1990
Voronovskaya type results for special sequences of operators. Zbl 1483.41005
Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Paşca, Vlad; Rasa, Ioan
5
2022
Commutativity of Durrmeyer-type modifications of Meyer-König and Zeller and Baskakov-operators. Zbl 1029.41010
Heilmann, Margareta
4
2003
A nice representation for a link between Bernstein-Durrmeyer and Kantorovich operators. Zbl 1514.41018
Heilmann, Margareta; Raşa, Ioan
4
2017
Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates. Zbl 1184.41005
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
4
2009
Iterates of convolution-type operators. Zbl 1465.41006
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
4
2021
Strong converse results for Baskakov-Durrmeyer operators. Zbl 1430.41015
Heilmann, Margareta; Wagner, Martin
3
2012
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators. Zbl 07762401
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan; Seserman, Andra
3
2023
Eigenstructure of the genuine Beta operators of Lupaş and Mühlbach. Zbl 1413.65095
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
3
2016
Beta and related operators revisited. Zbl 1445.41015
Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
3
2018
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. II. Zbl 1490.41012
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
3
2021
Strong converse results for Bernstein-Durrmeyer operators and their quasi-interpolants. Zbl 1212.41017
Heilmann, Margareta; Wagner, Martin
2
2010
A Bernstein-Schnabl type operator: applications to difference equations. Zbl 1513.41016
Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Paşca, Vlad; Raşa, Ioan
2
2022
Eigenfunctions of Durrmeyer-type modifications of Meyer-König and Zeller operators. Zbl 1043.41016
Heilmann, Margareta
2
2003
On simultaneous approximation by optimal algebraic polynomials. Zbl 0678.41022
Heilmann, Margareta
2
1989
Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification. Zbl 1399.41044
Heilmann, Margareta
2
2015
Some results for the inverse of a Bernstein-Schnabl type operator. Zbl 1528.41056
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
1
2023
Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures. Zbl 1434.41012
Berdysheva, Elena E.; Heilmann, Margareta; Hennings, Katharina
1
2020
Rodriguez-type representation for the eigenfunctions of Durrmeyer-type operators. Zbl 1042.41015
Heilmann, Margareta
1
2003
Commutativity of operators from Baskakov-Durrmeyer type. Zbl 0718.41029
Heilmann, Margareta
1
1988
Strong converse results for linking operators and convex functions. Zbl 1459.41008
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
1
2020
Linking Baskakov type operators. Zbl 1460.41003
Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
1
2020
Discrete operators associated with linking operators. Zbl 1459.41011
Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
1
2020
Convergence of linking Baskakov-type operators. Zbl 1463.41045
Abel, Ulrich; Heilmann, Margareta; Kushnirevych, Vitaliy
1
2020
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators. Zbl 07762401
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan; Seserman, Andra
3
2023
Some results for the inverse of a Bernstein-Schnabl type operator. Zbl 1528.41056
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
1
2023
Voronovskaya type results for special sequences of operators. Zbl 1483.41005
Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Paşca, Vlad; Rasa, Ioan
5
2022
A Bernstein-Schnabl type operator: applications to difference equations. Zbl 1513.41016
Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Paşca, Vlad; Raşa, Ioan
2
2022
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render. Zbl 07752772
Acu, Ana-Maria; Gonska, Heiner; Heilmann, Margareta
7
2021
Iterates of convolution-type operators. Zbl 1465.41006
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
4
2021
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. II. Zbl 1490.41012
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
3
2021
Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures. Zbl 1434.41012
Berdysheva, Elena E.; Heilmann, Margareta; Hennings, Katharina
1
2020
Strong converse results for linking operators and convex functions. Zbl 1459.41008
Acu, Ana-Maria; Heilmann, Margareta; Rasa, Ioan
1
2020
Linking Baskakov type operators. Zbl 1460.41003
Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
1
2020
Discrete operators associated with linking operators. Zbl 1459.41011
Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
1
2020
Convergence of linking Baskakov-type operators. Zbl 1463.41045
Abel, Ulrich; Heilmann, Margareta; Kushnirevych, Vitaliy
1
2020
A Nice representation for a link between Baskakov- and Szász-Mirakjan-Durrmeyer operators and their Kantorovich variants. Zbl 1404.41007
Heilmann, Margareta; Raşa, Ioan
10
2019
\(C_0\)-semigroups associated with uniquely ergodic Kantorovich modifications of operators. Zbl 1395.37003
Heilmann, Margareta; Raşa, Ioan
6
2018
Beta and related operators revisited. Zbl 1445.41015
Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
3
2018
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. Zbl 1375.37016
Heilmann, Margareta; Raşa, Ioan
11
2017
A nice representation for a link between Bernstein-Durrmeyer and Kantorovich operators. Zbl 1514.41018
Heilmann, Margareta; Raşa, Ioan
4
2017
Further results for \(k\)th order Kantorovich modification of linking Baskakov type operators. Zbl 1339.41030
Baumann, Katharina; Heilmann, Margareta; Raşa, Ioan
9
2016
Quantitative Voronovskaya-type results for polynomially bounded functions. Zbl 1351.41011
Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, Gancho
6
2016
Eigenstructure of the genuine Beta operators of Lupaş and Mühlbach. Zbl 1413.65095
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
3
2016
On the decomposition of Bernstein operators. Zbl 1315.41010
Heilmann, Margareta; Raşa, Ioan
7
2015
\(k\)th order Kantorovich modification of linking Baskakov-type operators. Zbl 1337.41010
Heilmann, Margareta; Raşa, Ioan
7
2015
Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification. Zbl 1399.41044
Heilmann, Margareta
2
2015
\(k\)th order Kantorovich type modification of the operators \(U^{\rho}_n\). Zbl 1358.41017
Heilmann, Margareta; Raşa, Ioan
8
2014
Strong converse results for Baskakov-Durrmeyer operators. Zbl 1430.41015
Heilmann, Margareta; Wagner, Martin
3
2012
Kantorovich operators of order \(k\). Zbl 1236.41023
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
33
2011
Commutativity, direct and strong converse results for Philipps operators. Zbl 1269.41005
Heilmann, Margareta; Tachev, Gancho
13
2011
Asymptotic behaviour of differential Bernstein polynomials revisited. Zbl 1212.41057
Gonska, Heiner; Heilmann, Margareta; Rasa, Ioan
8
2010
Strong converse results for Bernstein-Durrmeyer operators and their quasi-interpolants. Zbl 1212.41017
Heilmann, Margareta; Wagner, Martin
2
2010
Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates. Zbl 1184.41005
Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan
4
2009
The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights. Zbl 1104.41010
Abel, Ulrich; Heilmann, Margareta
14
2004
Commutativity of Durrmeyer-type modifications of Meyer-König and Zeller and Baskakov-operators. Zbl 1029.41010
Heilmann, Margareta
4
2003
Eigenfunctions of Durrmeyer-type modifications of Meyer-König and Zeller operators. Zbl 1043.41016
Heilmann, Margareta
2
2003
Rodriguez-type representation for the eigenfunctions of Durrmeyer-type operators. Zbl 1042.41015
Heilmann, Margareta
1
2003
Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators. Zbl 0745.41019
Heilmann, M.; Müller, M. W.
5
1990
Direct and converse results for operators of Baskakov-Durrmeyer type. Zbl 0669.41014
Heilmann, M.
40
1989
On simultaneous approximation by the method of Baskakov-Durrmeyer operators. Zbl 0644.41013
Heilmann, M.; Müller, M. W.
7
1989
Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type. Zbl 0682.41026
Heilmann, Margareta; Müller, Manfred W.
6
1989
On simultaneous approximation by optimal algebraic polynomials. Zbl 0678.41022
Heilmann, Margareta
2
1989
\(L_ p\)-saturation of some modified Bernstein operators. Zbl 0654.41021
Heilmann, Magareta
10
1988
Commutativity of operators from Baskakov-Durrmeyer type. Zbl 0718.41029
Heilmann, Margareta
1
1988
Approximation auf [0,\(\infty)\) durch das Verfahren der Operatoren vom Baskakov-Durrmeyer Typ. (Approximation on [0,\(\infty)\) by the method of Baskakov-Durrmeyer type operators). Zbl 0728.41032
Heilmann, Margareta
7
1987
all top 5

Cited by 138 Authors

39 Rasa, Ioan
28 Acu, Ana Maria
24 Heilmann, Margareta
19 Gupta, Vijay
13 Abel, Ulrich
9 Deo, Naokant
9 Tachev, Gancho T.
8 Kajla, Arun
7 Aral, Ali
7 Gonska, Heinz Herbert
6 Agrawal, Purshottam Narain
6 Costarelli, Danilo
6 Păltănea, Radu
6 Vinti, Gianluca
5 Finta, Zoltán
4 Bhardwaj, Neha
4 Draganov, Borislav R.
4 Ivan, Mircea Dumitru
3 Acar, Tuncer
3 Bascanbaz-Tunca, Gulen
3 Berdysheva, Elena E.
3 Cao, Feilong
3 Mishra, Vishnu Narayan
3 Müller, Manfred W.
3 Nasaireh, Fadel
3 Piconi, Michele
3 Seserman, Andra
3 Ulusoy, Gulsum
2 Anjali
2 Attalienti, Antonio
2 Baxhaku, Behar
2 Birou, Marius Mihai
2 Bustamante González, Jorge
2 Dancs, Madalina
2 De Marchi, Stefano
2 Deniz, Emre
2 Erençin, Ayşegül
2 Gadjev, Ivan
2 Gairola, Asha Ram
2 Gandhi, Rajiv B.
2 Goyal, Meenu
2 Holhoş, Adrian
2 Karsli, Harun
2 Khan, Asif
2 Kushnirevych, Vitaliy
2 Mursaleen, Mohammad
2 Paşca, Vlad
2 Prakash, Chandra
2 Pych-Taberska, Paulina
2 Rahman, Shagufta
2 Rao, Nadeem
2 Şteopoaie, Ancuţa Emilia
2 Verma, Durvesh Kumar
1 Agratini, Octavian
1 Agrawal, Gunjan
1 Aliaga, Edmond
1 Altin, Birol
1 An, Yongfeng
1 Angeloni, Laura
1 Ansari, Khursheed Jamal
1 Bai, Yumei
1 Bardaro, Carlo
1 Baumann, Katharina
1 Bawa, Parveen
1 Buscu, Ioan Cristian
1 Cárdenas-Morales, Daniel
1 Çetin, Nursel
1 Dhamija, Minakshi
1 Ding, Chunmei
1 Dinlemez, Ülkü
1 Duman, Oktay
1 Flores-de-Jesús, Lázaro
1 Gal, Sorin Gheorghe
1 Garrancho, Pedro
1 Govil, Narendra Kumar
1 Guo, Feng
1 Guo, Shunsheng
1 Han, Lingxiong
1 Hodis, Laura
1 Hodiş, Sever
1 İspir, Nurhayat
1 Kadak, Ugur
1 Katsevich, Alexander I.
1 Kopotun, Kirill A.
1 Köroğlu, Bülent
1 Kumar, Abhishek
1 Kumar, Alok
1 Kumar, Dharmendra
1 Kumar, Sandeep
1 Leviatan, Dany
1 Li, Cuixiang
1 Li, Song
1 Li, Zhongkai
1 López-Moreno, Antonio-Jesús
1 Lupaş, Alexandru
1 Mache, Detlef-Hauke
1 Măduţa, Alexandra-Ioana
1 Malik, Pradeep
1 Mantellini, Ilaria
1 Miclăuş, Dan
...and 38 more Authors
all top 5

Cited in 61 Serials

17 Results in Mathematics
13 Journal of Approximation Theory
11 Applied Mathematics and Computation
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Mediterranean Journal of Mathematics
8 Mathematical Foundations of Computing
6 Positivity
5 Journal of Mathematical Analysis and Applications
4 Mathematical Methods in the Applied Sciences
4 Numerical Functional Analysis and Optimization
4 Georgian Mathematical Journal
4 Analysis in Theory and Applications
4 Analysis and Mathematical Physics
4 Constructive Mathematical Analysis
3 Periodica Mathematica Hungarica
3 Demonstratio Mathematica
3 Filomat
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Afrika Matematika
3 Journal of Classical Analysis
2 Matematički Vesnik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
2 Journal of Inequalities and Applications
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 Applicable Analysis and Discrete Mathematics
2 Dolomites Research Notes on Approximation
2 Journal of Function Spaces
1 Analysis Mathematica
1 Applicable Analysis
1 Ukrainian Mathematical Journal
1 Mathematische Nachrichten
1 Quaestiones Mathematicae
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Constructive Approximation
1 Facta Universitatis. Series Mathematics and Informatics
1 Mathematical and Computer Modelling
1 Numerical Algorithms
1 Applied Mathematics. Series B (English Edition)
1 Mathematical Inequalities & Applications
1 Lobachevskii Journal of Mathematics
1 Annales Mathematicae Silesianae
1 Mathematical Modelling and Analysis
1 Kragujevac Journal of Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Communications on Pure and Applied Analysis
1 Hacettepe Journal of Mathematics and Statistics
1 Thai Journal of Mathematics
1 Advances in Difference Equations
1 Journal of Mathematical Inequalities
1 Banach Journal of Mathematical Analysis
1 Asian-European Journal of Mathematics
1 Tbilisi Mathematical Journal
1 Journal of Nonlinear Science and Applications
1 Annals of Functional Analysis
1 Advances in Operator Theory
1 Korean Journal of Mathematics
1 Bollettino dell’Unione Matematica Italiana
1 Results in Applied Mathematics
1 Sampling Theory, Signal Processing, and Data Analysis

Citations by Year