Prof. Dr. Burkhard Lenze

B. Lenze, Mathematik und Quantum Computing, 2nd ed. Berlin: Logos Verlag, 2020.

B. Lenze, Basiswissen Angewandte Mathematik – Numerik, Grafik, Kryptik, 2nd ed. Wiesbaden: Springer Vieweg Verlag, 2020 [Online]. Available: https://www.base-search.net/Record/17468c4497363a0fdb34f5b77a22dbae1111580a1f19a2ef80a677bf0895ffdd

B. Lenze, Basiswissen Analysis, 2nd ed. Wiesbaden: Springer Vieweg Verlag, 2020 [Online]. Available: https://www.base-search.net/Record/a45601a14fc40188b1a6928bb13f09725e1b35502dc6908121fe5d6590b00eff

B. Lenze, Basiswissen Lineare Algebra, 2nd ed. Wiesbaden: Springer Vieweg Verlag, 2020 [Online]. Available: https://www.base-search.net/Record/7368da07b4d55c0f9060f2d8053c996ed25951865d2a9f61b9c25c64c319f5c8

B. Lenze, Mathematik und Quantum Computing, 1st ed. Berlin: Logos Verlag, 2018.

B. Lenze, Einführung in die Fourier-Analysis. Berlin: Logos-Verlag, 2010.

B. Lenze, Einführung in die Mathematik neuronaler Netze, 3rd ed. Berlin: Logos Verlag, 2009.

B. Lenze, “On the points of regularity of multivariate functions of bounded variation,” Real Analysis Exchange, vol. 29, no. 2, pp. 647–656, 2004 [Online]. Available: https://projecteuclid.org/journals/real-analysis-exchange/volume-29/issue-2/On-the-points-of-regularity-of-multivariate-functions-of-bounded/rae/1149698555.pdf

B. Lenze, “Note on interpolation on the hypercube by means of sigma-pi neural networks,” Neurocomputing, vol. 61, pp. 471–478, 2004.

B. Lenze and J. Raddatz, “Effects of dilation and translation on a perceptron-type learning rule for higher order Hopfield neural networks,” International journal of neural systems, vol. 12, no. 2, pp. 83–93, 2002.

B. Lenze, “On a perceptron-type learning rule for higher order Hopfield neural networks including dilation and translation,” Neurocomputing, vol. 48, no. 1–4, pp. 391–401, 2002.

B. Lenze, “Improving Leung’s bidirectional learning rule for associative memories,” IEEE Transactions on Neural Networks, vol. 12, no. 5, pp. 1222–1226, 2001.

B. Lenze, “A General Approach to Dyadic Periodic Interpolation Based on Discrete Sigma-Pi Orthogonality,” Journal of Computational Analysis and Applications, vol. 3, no. 4, pp. 271–280, 2001.

B. Lenze, “Mathematics and Neural Networks - A Glance at some Basic Connections,” Acta Applicandae Mathematicae, vol. 55, pp. 303–311, 1999.

B. Lenze, “Complexity preserving increase of the capacity of bidirectional associative memories by dilation and translation,” Neural Networks, vol. 11, no. 6, pp. 1041–1048, 1998.

B. Lenze, “Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type,” Discrete Applied Mathematics, vol. 89, no. 1–3, pp. 169–180, 1998.

B. Lenze, “Dilation and translation for incomplete sigma-pi neural networks of Hopfield-type - a case study,” International journal of neural systems, vol. 7, no. 6, pp. 689–695, 1996.

B. Lenze, “Hyperbolic sigma-pi neural network operators for compactly supported continuous functions,” Advances in Computational Mathematics, vol. 5, pp. 163–172, 1996.

B. Lenze, “On local and global sigma-pi neural networks a common link,” Advances in Computational Mathematics, vol. 2, no. 4, pp. 479–491, 1994.

B. Lenze, “Note on a density question for neural networks,” Numerical Functional Analysis and Optimization, vol. 15, no. 7–8, pp. 909–913, 1994.

B. Lenze, “How to make sigma-pi neural networks perform perfectly on regular training sets,” Neural Networks, vol. 7, no. 8, pp. 1285–1293, 1994.

B. Lenze, “Local Behaviour Of Neural Network Operators - Approximation And Interpolation,” Analysis : International Mathematical Journal of Analysis and its Applications, vol. 13, no. 4, pp. 377–387, 1993.

B. Lenze, “A hyperbolic modulus of smoothness for multivariate functions of bounded variation,” Approximation Theory and its Applications, vol. 7, no. 1, pp. 1–15, 1991.

B. Lenze, “On constructive one-sided approximation of multivariate functions of bounded variation,” Numerical Functional Analysis and Optimization, vol. 11, no. 1–2, pp. 55–83, 1990.

B. Lenze, “On the explicit solution of a time-optimal control problem by means of one-sided spline approximation,” Journal of Approximation Theory, vol. 56, no. 3, pp. 297–305, 1989.

B. Lenze, “Uniqueness in best one-sided L1-approximation by algebraic polynomials on unbounded intervals,” Journal of Approximation Theory, vol. 57, no. 2, pp. 169–177, 1989.

B. Lenze, “On one-sided spline approximation operators,” Numerical Functional Analysis and Optimization, vol. 10, no. 1–2, pp. 167–180, 1989.

B. Lenze and F. Locher, “Hermite-Lagrange Two-Point Interpolation Via Peano Kernels,” Results in Mathematics, vol. 16, pp. 253–260, 1989.

B. Lenze, “Operators for one-sided approximation by algebraical polynomials,” Journal of Approximation Theory, vol. 54, no. 2, pp. 169–179, 1988.

B. Lenze, “On Lipschitz-type maximal functions and their smoothness spaces,” Indagationes Mathematicae, vol. 91, no. 1, pp. 53–63, 1988.

B. Lenze, “Note on the connection between two types of maximal functions,” Analysis : International Mathematical Journal of Analysis and its Applications, vol. 8, no. 3–4, pp. 391–395, 1988.