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## Kershaw, Donald

Compute Distance To:
 Author ID: kershaw.donald Published as: Kershaw, D.; Kershaw, Donald
 Documents Indexed: 31 Publications since 1962, including 1 Book Reviewing Activity: 144 Reviews
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#### Co-Authors

 26 single-authored 1 Coomer, J. 1 Hayman, Walter Kurt 1 Laforgia, Andrea 1 Lazarus, Michel 1 Lyons, Terence John 1 Tegman, A. 1 Tucker, Robin W. 1 Vajda, Steven
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#### Serials

 4 Mathematics of Computation 2 Journal of the Institute of Mathematics and its Applications 2 Journal of Approximation Theory 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 2 Linear Algebra and its Applications 1 Journal of Sound and Vibration 1 The Computer Journal. Section A / Section B 1 Journal of the Operational Research Society 1 SIAM Journal on Numerical Analysis 1 Rendiconti del Seminario Matematico 1 Journal of Integral Equations 1 Journal of Integral Equations and Applications 1 Annals of Numerical Mathematics 1 Analysis and Applications (Singapore)
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#### Fields

 15 Numerical analysis (65-XX) 8 Approximations and expansions (41-XX) 6 Special functions (33-XX) 5 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 178 times in 74 Documents Cited by Year
Some extensions of W. Gautschi’s inequalities for the gamma function. Zbl 0536.33002
Kershaw, D.
1983
Inequalities on the elements of the inverse of a certain tridiagonal matrix. Zbl 0229.15012
Kershaw, D.
1970
The orders of approximation of the first derivative of cubic splines at the knots. Zbl 0261.65012
Kershaw, D.
1972
Some results for Abel-Volterra integral equations of the second kind. Zbl 0532.65090
Kershaw, D.
1982
A note on the convergence of interpolatory cubic splines. Zbl 0219.65013
Kershaw, D.
1971
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
Monotonicity results for the gamma function. Zbl 0805.33001
Kershaw, Donald; Laforgia, Andrea
1985
The explicit inverses of two commonly occurring matrices. Zbl 0177.20201
Kershaw, D.
1969
Two interpolatory cubic splines. Zbl 0268.65004
Kershaw, D.
1973
A note on orthogonal polynomials. Zbl 0208.18601
Kershaw, D.
1970
The best harmonic approximant to a continuous function. Zbl 0541.41024
Hayman, Walter K.; Kershaw, Donald; Lyons, Terry J.
1984
A bound on the inverse of a band matrix which occurs in interpolation by periodic odd order splines. Zbl 0374.65006
Kershaw, D.
1977
Upper and lower bounds for a ratio involving the gamma function. Zbl 1074.33003
Kershaw, D.
2005
Sard’s best quadrature formulas of order two. Zbl 0268.65015
Kershaw, D.
1972
An analysis of the method of L. Fox and L. Hayes for the factorization of a polynomial. Zbl 0618.65034
Kershaw, D.
1987
Permanents in Fredholm’s theory of integral equations. Zbl 0448.45015
Kershaw, D.
1979
An error analysis for a numerical solution of the eigenvalue problem for compact positive operators. Zbl 0448.65084
Kershaw, D.
1980
On the existence of positive solutions of $$Au=\lambda Bu$$. Zbl 0275.15008
Kershaw, D.
1973
Variations on the theme of Gaussian elimination. Zbl 0760.65024
Kershaw, D.
1992
The stability of a numerical method for a second kind Abel equation. Zbl 0532.65091
Kershaw, D.
1982
Regular and convergent Korovkin sequences. Zbl 0297.41011
Kershaw, Donald
1974
A non-linear eigenvalue problem associated with inextensible whirling strings. Zbl 1237.74021
Coomer, J.; Lazarus, M.; Tucker, R. W.; Kershaw, D.; Tegman, A.
2001
The economics of dumping from electronic computers. Zbl 0104.35801
Kershaw, D.; Vajda, S.
1962
Upper and lower bounds for a ratio involving the gamma function. Zbl 1074.33003
Kershaw, D.
2005
A non-linear eigenvalue problem associated with inextensible whirling strings. Zbl 1237.74021
Coomer, J.; Lazarus, M.; Tucker, R. W.; Kershaw, D.; Tegman, A.
2001
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
Variations on the theme of Gaussian elimination. Zbl 0760.65024
Kershaw, D.
1992
An analysis of the method of L. Fox and L. Hayes for the factorization of a polynomial. Zbl 0618.65034
Kershaw, D.
1987
Monotonicity results for the gamma function. Zbl 0805.33001
Kershaw, Donald; Laforgia, Andrea
1985
The best harmonic approximant to a continuous function. Zbl 0541.41024
Hayman, Walter K.; Kershaw, Donald; Lyons, Terry J.
1984
Some extensions of W. Gautschi’s inequalities for the gamma function. Zbl 0536.33002
Kershaw, D.
1983
Some results for Abel-Volterra integral equations of the second kind. Zbl 0532.65090
Kershaw, D.
1982
The stability of a numerical method for a second kind Abel equation. Zbl 0532.65091
Kershaw, D.
1982
An error analysis for a numerical solution of the eigenvalue problem for compact positive operators. Zbl 0448.65084
Kershaw, D.
1980
Permanents in Fredholm’s theory of integral equations. Zbl 0448.45015
Kershaw, D.
1979
A bound on the inverse of a band matrix which occurs in interpolation by periodic odd order splines. Zbl 0374.65006
Kershaw, D.
1977
Regular and convergent Korovkin sequences. Zbl 0297.41011
Kershaw, Donald
1974
Two interpolatory cubic splines. Zbl 0268.65004
Kershaw, D.
1973
On the existence of positive solutions of $$Au=\lambda Bu$$. Zbl 0275.15008
Kershaw, D.
1973
The orders of approximation of the first derivative of cubic splines at the knots. Zbl 0261.65012
Kershaw, D.
1972
Sard’s best quadrature formulas of order two. Zbl 0268.65015
Kershaw, D.
1972
A note on the convergence of interpolatory cubic splines. Zbl 0219.65013
Kershaw, D.
1971
Inequalities on the elements of the inverse of a certain tridiagonal matrix. Zbl 0229.15012
Kershaw, D.
1970
A note on orthogonal polynomials. Zbl 0208.18601
Kershaw, D.
1970
The explicit inverses of two commonly occurring matrices. Zbl 0177.20201
Kershaw, D.
1969
The economics of dumping from electronic computers. Zbl 0104.35801
Kershaw, D.; Vajda, S.
1962
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#### Cited by 103 Authors

 11 Qi, Feng 6 Alzer, Horst 6 Chu, Yuming 6 Laforgia, Andrea 6 Yang, Zhenhang 4 Giordano, Carla 3 Batir, Necdet 3 Chen, Chaoping 3 Zheng, Shenzhou 3 Zwick, Daniel S. 2 Elezović, Neven 2 Guo, Bai-Ni 2 Lorch, Lee 2 Luo, Qiuming 2 Natalini, Pierpaolo 2 Pečarić, Josip 2 Qian, Weimao 2 Vuorinen, Matti Keijo Kustaa 2 Zhang, Wen 2 Zhang, Xiaoming 2 Zhao, Tiehong 1 Andrade, Plinio L. D. 1 Bentaiba, Mustapha 1 Berg, Christian 1 Berthomieu, Jérémy 1 Bhayo, Barkat Ali 1 Bobkov, Vladimir E. 1 Bonnefont, Michel 1 Callegaro, Giorgia 1 Chen, Shouxin 1 Choi, Junesang 1 Chow, Yunshyong 1 Fontana, Luigi 1 Foondun, Mohammud 1 Förster, Klaus-Jürgen 1 Gaillac, Christophe 1 Gatteschi, Luigi 1 Gauthier, Paul M. 1 Gautier, Eric 1 Gautschi, Walter 1 Ghosh, Malay 1 Graham, Ivan G. 1 Grasselli, Martino 1 Guo, Senlin 1 Han, Min 1 Heinonen, Juha 1 Iliopoulos, George 1 Ismail, Mourad El-Houssieny 1 Ivrlač, Michel T. 1 Jakimovski, Amnon 1 Joulin, Aldéric 1 Karlis, Dimitris 1 Khare, Kshitij 1 Koumandos, Stamatis 1 Krylov, Andreĭ Serdzhevich 1 Kuo, Frances Y. 1 Legg, David A. 1 Lerman, Gilad 1 Liu, Wei 1 Ma, Yutao 1 Mao, Xuerong 1 McCoy, Michael B. 1 Merkle, Milan J. 1 Meyer-König, Werner 1 Milovanović, Gradimir V. 1 Morpurgo, Carlo 1 Mortici, Cristinel 1 Muldoon, Martin E. 1 Nantomah, Kwara 1 Neuman, Edward 1 Nossek, Josef A. 1 Ntzoufras, Ioannis 1 Nuyens, Dirk 1 Oliveira de Silva, Diogo 1 Pagès, Gilles 1 Pan, Yifei 1 Pardo, Luis Miguel 1 Potts, Daniel 1 Qiu, Songliang 1 Quilodrán, René 1 Ramos Rifo, Laura L. 1 Scheichl, Robert 1 Shen, Jian-Mei 1 Sismondi, Silvana 1 Sloan, Ian Hugh 1 Sun, Zhaoxu 1 Tasche, Manfred 1 Tian, Jingfeng 1 Torres-Avilés, Francisco J. 1 Torres, Soledad 1 Tropp, Joel A. 1 Umnov, A. V. 1 Vukšić, Lenka 1 Wilson, James Michael 1 Wong, Roderick Sue-Chuen 1 Xiang, Ruoxuan 1 Yahiaoui, Sid-Ahmed 1 You, Xu 1 Zeller, Karl Longin 1 Zhang, Hongliang ...and 3 more Authors
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#### Cited in 41 Serials

 10 Journal of Computational and Applied Mathematics 9 Journal of Inequalities and Applications 4 Journal of Mathematical Analysis and Applications 4 Mathematics of Computation 4 Journal of Approximation Theory 3 Applied Mathematics and Computation 3 Proceedings of the American Mathematical Society 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Mathematical Inequalities & Applications 1 The Canadian Journal of Statistics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 BIT 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Moscow University Computational Mathematics and Cybernetics 1 Statistics & Probability Letters 1 Journal of Complexity 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Expositiones Mathematicae 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 The Ramanujan Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Communications of the Korean Mathematical Society 1 The ANZIAM Journal 1 Foundations of Computational Mathematics 1 Entropy 1 Bulletin of the Brazilian Mathematical Society. New Series 1 EURASIP Journal on Advances in Signal Processing 1 Electronic Journal of Statistics 1 Banach Journal of Mathematical Analysis 1 Journal of Classical Analysis 1 Journal of Mathematics
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#### Cited in 24 Fields

 53 Special functions (33-XX) 38 Real functions (26-XX) 13 Numerical analysis (65-XX) 9 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)