Martin D. Buhmann

31 papers Journal 25Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Hyperbolic trigonometric functions as approximation kernels and their properties I: generalised Fourier transforms. CoRR Martin D. Buhmann, Joaquín Jódar, Miguel Luis Rodríguez
2025	J	`jnl`	Hyperbolic trigonometric functions as approximation kernels and their properties II: Wavelets. CoRR Martin D. Buhmann, Joaquín Jódar, Miguel Luis Rodríguez
2024	J	`jnl`	Compression using Quasi-Interpolation. CoRR Martin D. Buhmann, Feng Dai
2024	J	`jnl`	New methods for quasi-interpolation approximations: Resolution of odd-degree singularities. Math. Comput. Simul. Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez
2024	J	`jnl`	On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics. CoRR Mathis Ortmann, Martin D. Buhmann
2023	J	`jnl`	High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics. CoRR Mathis Ortmann, Martin D. Buhmann
2023	J	`jnl`	New methods for quasi-interpolation approximations: resolution of odd-degree singularities. CoRR Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez
2022	J	`jnl`	Positive definite functions on a regular domain. CoRR Martin D. Buhmann, Yuan Xu
2021	J	`jnl`	Implementing and modifying Broyden class updates for large scale optimization. Comput. Optim. Appl. Martin D. Buhmann, Dirk Siegel
2021	J	`jnl`	Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres. CoRR Martin D. Buhmann, Janin Jäger
2020	J	`jnl`	Discretization on high-dimensional domains. CoRR Martin D. Buhmann, Feng Dai, Yeli Niu
2020	J	`jnl`	Multiply monotone functions for radial basis function interpolation: Extensions and new kernels. J. Approx. Theory Martin D. Buhmann, Janin Jäger
2020	J	`jnl`	Pólya-type criteria for conditional strict positive definiteness of functions on spheres. J. Approx. Theory Martin D. Buhmann, Janin Jäger
2019	J	`jnl`	Michael J.D. Powell's work in approximation theory and optimisation. J. Approx. Theory Martin D. Buhmann
2019	J	`jnl`	Preface. J. Approx. Theory Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov
2017	J	`jnl`	Error bounds for multiquadrics without added constants. J. Approx. Theory Martin D. Buhmann, Oleg Davydov
2017	—	`ch.`	Radial Basis Function Networks. Encyclopedia of Machine Learning and Data Mining Martin D. Buhmann
2015	J	`jnl`	Pointwise approximation with quasi-interpolation by radial basis functions. J. Approx. Theory Martin D. Buhmann, Feng Dai
2010	J	`jnl`	Preface. J. Approx. Theory Martin D. Buhmann, Kurt Jetter
2010	—	`ch.`	Radial Basis Function Networks. Encyclopedia of Machine Learning Martin D. Buhmann
2010	J	`jnl`	Radial basis function. Scholarpedia Martin D. Buhmann
2009	—	`book`	Radial Basis Functions - Theory and Implementations. Martin D. Buhmann
2006	J	`jnl`	Half-plane approximation with radial functions. Comput. Math. Appl. Martin D. Buhmann
2006	J	`jnl`	Preface. J. Approx. Theory Martin D. Buhmann, Juan Manuel Peña
2006	J	`jnl`	Semi-infinite cardinal interpolation with multiquadrics and beyond. Adv. Comput. Math. Martin D. Buhmann
2003	J	`jnl`	Cubic Spline Prewavelets on the Four-Directional Mesh. Found. Comput. Math. Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
2001	J	`jnl`	A new class of radial basis functions with compact support. Math. Comput. Martin D. Buhmann
2001	J	`jnl`	Box Spline Prewavelets of Small Support. J. Approx. Theory Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
1997	—	`book`	Approximation theory and optimization - tributes to M. J. D. Powell. Martin D. Buhmann, Arieh Iserles
1994	—	`conf`	Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review. IMA Conference on the Mathematics of Surfaces Martin D. Buhmann
1991	—	`ch.`	Error Estimates for Multiquadric Interpolation. Curves and Surfaces Martin D. Buhmann, Nira Dyn