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Author ID: lenze.burkhard Recent zbMATH articles by "Lenze, Burkhard"
Published as: Lenze, Burkhard; Lenze, B.
Homepage: https://www.fh-dortmund.de/personen/Burkhard-Lenze/index.php
External Links: ORCID · ResearchGate · GND
Documents Indexed: 42 Publications since 1985, including 8 Books
Co-Authors: 1 Co-Author with 3 Joint Publications
4 Co-Co-Authors

Co-Authors

39 single-authored
3 Locher, Franz

Publications by Year

Citations contained in zbMATH Open

15 Publications have been cited 91 times in 86 Documents Cited by Year
On Lipschitz-type maximal functions and their smoothness spaces. Zbl 0652.42004
Lenze, Burkhard
50
1988
Bernstein-Baskakov-Kantorovič operators and Lipschitz-type maximal functions. Zbl 0784.41017
Lenze, Burkhard
13
1991
Constructive multivariate approximation with sigmoidal functions and applications to neural networks. Zbl 0823.41016
Lenze, Burkhard
8
1992
Operators for one-side approximation by algebraic polynomials. Zbl 0674.41013
Lenze, Burkhard
3
1988
On the points of regularity of multivariate functions of bounded variation. Zbl 1064.26007
Lenze, Burkhard
3
2004
On constructive one-sided approximation of multivariate functions of bounded variation. Zbl 0702.41027
Lenze, Burkhard
3
1990
Note on a density question for neural networks. Zbl 0814.41018
Lenze, Burkhard
2
1994
On one-sided spline approximation operators. Zbl 0672.41009
Lenze, Burkhard
2
1989
Operatoren zur einseitigen Approximation durch algebraische Polynome. (Operators for one-sided approximation by algebraic polynomials). Zbl 0579.41008
Lenze, Burkhard
1
1985
Local behaviour of neural network operators – approximation and interpolation. Zbl 0786.41003
Lenze, Burkhard
1
1993
A hyperbolic modulus of smoothness for multivariate functions of bounded variation. Zbl 0764.41013
Lenze, Burkhard
1
1991
Jacobi moments and a family of special orthogonal polynomials. Zbl 0655.33006
Lenze, B.; Locher, F.
1
1988
Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type. Zbl 1053.68624
Lenze, Burkhard
1
1998
Mathematics and neural networks – A glance at some basic connections. Zbl 0944.92002
Lenze, Burkhard
1
1999
Introducing dilation and translation for incomplete sigma-pi neural networks of Hopfield-type. Zbl 1273.68302
Lenze, Burkhard
1
1996
On the points of regularity of multivariate functions of bounded variation. Zbl 1064.26007
Lenze, Burkhard
3
2004
Mathematics and neural networks – A glance at some basic connections. Zbl 0944.92002
Lenze, Burkhard
1
1999
Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type. Zbl 1053.68624
Lenze, Burkhard
1
1998
Introducing dilation and translation for incomplete sigma-pi neural networks of Hopfield-type. Zbl 1273.68302
Lenze, Burkhard
1
1996
Note on a density question for neural networks. Zbl 0814.41018
Lenze, Burkhard
2
1994
Local behaviour of neural network operators – approximation and interpolation. Zbl 0786.41003
Lenze, Burkhard
1
1993
Constructive multivariate approximation with sigmoidal functions and applications to neural networks. Zbl 0823.41016
Lenze, Burkhard
8
1992
Bernstein-Baskakov-Kantorovič operators and Lipschitz-type maximal functions. Zbl 0784.41017
Lenze, Burkhard
13
1991
A hyperbolic modulus of smoothness for multivariate functions of bounded variation. Zbl 0764.41013
Lenze, Burkhard
1
1991
On constructive one-sided approximation of multivariate functions of bounded variation. Zbl 0702.41027
Lenze, Burkhard
3
1990
On one-sided spline approximation operators. Zbl 0672.41009
Lenze, Burkhard
2
1989
On Lipschitz-type maximal functions and their smoothness spaces. Zbl 0652.42004
Lenze, Burkhard
50
1988
Operators for one-side approximation by algebraic polynomials. Zbl 0674.41013
Lenze, Burkhard
3
1988
Jacobi moments and a family of special orthogonal polynomials. Zbl 0655.33006
Lenze, B.; Locher, F.
1
1988
Operatoren zur einseitigen Approximation durch algebraische Polynome. (Operators for one-sided approximation by algebraic polynomials). Zbl 0579.41008
Lenze, Burkhard
1
1985
all top 5

Cited by 103 Authors

16 Agrawal, Purshottam Narain
7 Mursaleen, Mohammad
5 Ansari, Khursheed Jamal
5 Cheng, Wentao
5 Costarelli, Danilo
5 Doğru, Ogün
5 Lenze, Burkhard
4 Acar, Tuncer
4 Aral, Ali
4 Cai, Qingbo
4 Goyal, Meenu
4 Kumar, Alok
4 Spigler, Renato
3 Acu, Ana Maria
3 Alotaibi, Abdullah M.
3 Gupta, Pooja
3 Kajla, Arun
3 Mishra, Vishnu Narayan
3 Mohiuddine, Syed Abdul
3 Rao, Nadeem
3 Wafi, Abdul
2 Angeloni, Laura
2 Baxhaku, Behar
2 Bustamante González, Jorge
2 Chistyakov, Vyacheslav V.
2 Dinlemez Kantar, Ülkü
2 Finta, Zoltán
2 Garg, Tarul
2 Gupta, Vijay
2 İspir, Nurhayat
2 Karsli, Harun
2 Kumar, Abhishek
2 Mishra, Lakshmi Narayan
2 Nasiruzzaman, Mohammad
2 Quesada, José María
2 Sharma, Preeti
1 Abbas, Zaheer
1 Adell, José Antonio
1 Ahmad, Ishfaq
1 Al-Abied, Ahmed Ahmed Hussin Ali
1 Aljohani, Abdulrahman F.
1 Altin, Abdullah
1 Araci, Serkan
1 Artee
1 Bajpeyi, Shivam
1 Canatan, Reyhan
1 Çekım, Bayram
1 Chauhan, Ruchi
1 Chen, Pei
1 Chistyakova, Svetlana A.
1 Deng, Lunzhi
1 Deo, Naokant
1 Ersan, Sibel
1 Fang, Jinwu
1 Gonska, Heinz Herbert
1 Gui, Chunyan
1 Guo, Dongsheng
1 Guo, Zhidong
1 Gutierrez, Lucía
1 Guzmán, Oscar Mauricio
1 Hu, Yongmo
1 Hussain, Iqtadar
1 Kanat, Kadir
1 Ke, Zhende
1 Khan, Faisal
1 Khan, Taqseer
1 Khatoon, Salma
1 Khurana, Dakshita
1 Kocić, Ljubiša M.
1 Li, Zhen
1 Liflyand, Elijah
1 Lin, Zhipeng
1 Lipi, KM.
1 Locher, Franz
1 Martínez-Cruz, Reinaldo
1 Miclăuş, Dan
1 Milovanović, Gradimir V.
1 Özger, Faruk
1 Özkan, Esma Yıldız
1 Panahian Fard, Saeed
1 Patel, Prashantkumar G.
1 Qasim, Mohd
1 Salman, Mohammed Abdullah
1 Sarsenbi, Abdizhahan M.
1 Sathish Kumar, A.
1 Shareef, K. P. Muhammed
1 Singh, Ghanshyam
1 Sofyalıoğlu, Melek
1 Stadtmüller, Ulrich
1 Taşdelen, Fatma
1 Torun, Gülten
1 Tretyachenko, Yuliya V.
1 Trigub, Roal’d Mikhaĭlovich
1 Vinti, Gianluca
1 Wu, Yunshun
1 Yuksel, Ismet
1 Zainuddin, Zarita
1 Zhang, Wenhui
1 Zhang, Yunong
1 Zheng, Zhongbin
...and 3 more Authors
all top 5

Cited in 50 Serials

7 Journal of Inequalities and Applications
7 Journal of Function Spaces
6 Journal of Mathematical Analysis and Applications
5 Filomat
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Neural Networks
3 Complex Analysis and Operator Theory
2 Computers & Mathematics with Applications
2 Applied Mathematics and Computation
2 Advances in Computational Mathematics
2 Advances in Difference Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 AIMS Mathematics
1 Discrete Applied Mathematics
1 Mathematical Notes
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Demonstratio Mathematica
1 Journal of Approximation Theory
1 Numerical Functional Analysis and Optimization
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematicae Applicatae Sinica. English Series
1 Facta Universitatis. Series Mathematics and Informatics
1 Mathematical and Computer Modelling
1 Numerical Algorithms
1 Computational and Applied Mathematics
1 Journal of the Egyptian Mathematical Society
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 The Journal of Fourier Analysis and Applications
1 Soft Computing
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Proyecciones
1 Applications and Applied Mathematics
1 Journal of Mathematical Inequalities
1 European Journal of Pure and Applied Mathematics
1 Asian-European Journal of Mathematics
1 Tbilisi Mathematical Journal
1 Symmetry
1 Journal of Applied Mathematics & Informatics
1 Analysis and Mathematical Physics
1 Palestine Journal of Mathematics
1 Mathematical Sciences
1 Journal of Mathematics
1 International Journal of Advances in Applied Mathematics and Mechanics
1 Results in Applied Mathematics

Citations by Year