Edit Profile (opens in new tab) Burkill, John Charles (b. 1900 d. 1993) Co-Author Distance Author ID: burkill.john-charles Published as: Burkill, J. C.; Burkill, John Charles External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 51 Publications since 1923, including 7 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 3 Co-Authors with 10 Joint Publications 49 Co-Co-Authors all top 5 Co-Authors 40 single-authored 6 Haslam-Jones, Ughtred Shuttleworth 3 Burkill, H. 1 Apostol, Tom M. 1 Butzer, Paul Leo 1 De La Vallée Poussin, Charles-Jean 1 Favard, Jean 1 Gehring, Frederick William 1 Hayman, Walter Kurt 1 Lemaître, Georges 1 Mawhin, Jean L. 1 Montel, Paul Antoine Aristide 1 Montgomery, Hugh Lowell 1 Vetro, Pasquale 1 Zygmund, Antoni all top 5 Serials 16 Journal of the London Mathematical Society 11 Proceedings of the London Mathematical Society. Second Series 3 Proceedings of the London Mathematical Society. Third Series 3 Proceedings of the Cambridge Philosophical Society 2 Bulletin of the London Mathematical Society 2 Mathematische Zeitschrift 2 The Quarterly Journal of Mathematics. Oxford Series 1 Journal of Mathematical Analysis and Applications 1 The Mathematical Gazette 1 Journal of the London Mathematical Society. Second Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Cambridge Tracts in Mathematics and Mathematical Physics 1 Cambridge Mathematical Library all top 5 Fields 4 Real functions (26-XX) 3 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 200 times in 159 Documents Cited by ▼ Year ▼ Functions of intervals. JFM 49.0177.02Burkill, J. C. 31 1923 The approximately continuous Perron integral. Zbl 0002.38604Burkill, J. C. 21 1931 Integrals and trigonometric series. Zbl 0042.28403Burkill, J. C. 18 1951 The Cesaro-Perron integral. Zbl 0005.39202Burkill, J. C. 15 1932 A second course in mathematical analysis. Zbl 0188.11402Burkill, J. C.; Burkill, H. 14 1970 The Cesaro-Perron scale of integration. Zbl 0012.20403Burkill, J. C. 11 1935 The theory of ordinary differential equations. Zbl 0117.30002Burkill, J. C. 9 1962 A second course in mathematical analysis. Reprint of the 1970 original. Zbl 1021.00001Burkill, J. C.; Burkill, H. 7 2002 The derivates and approximate derivates of measurable functions. Zbl 0002.02005Burkill, J. C.; Haslam-Jones, U. S. 7 1931 The Lebesgue integral. Zbl 0043.27902Burkill, J. C. 7 1951 Notes on the differentiability of functions of two variables. Zbl 0005.39104Burkill, J. C.; Haslam-Jones, U. S. 6 1932 The Cesàro-Perron scale of integration. JFM 61.0239.02Burkill, J. C. 5 1935 The expression in Stieltjes integrals of the inversion formulae of Fourier and Hankel. JFM 52.0285.04Burkill, J. C. 4 1926 A second course in mathematical analysis. 1st paperback ed. Zbl 0433.26001Burkill, J. C.; Burkill, H. 3 1980 The Cesàro-Perron integral. JFM 58.0254.04Burkill, J. C. 3 1932 On Mellin’s inversion formula. JFM 52.0401.01Burkill, J. C. 3 1926 An integral for distributions. Zbl 0081.11303Burkill, J. C. 3 1957 A first course in mathematical analysis. Zbl 0101.28203Burkill, J. C. 3 1962 John Edensor Littlewood. Zbl 0409.01010Burkill, J. C. 2 1979 Corrigendum: ’Integrals and trigonometric series’. Zbl 0595.26005Burkill, J. C. 2 1983 The expression of trigonometrical series in Fourier form. JFM 62.0286.03Burkill, J. C. 2 1936 The concavity of discrepancies in inequalities of the means and of Hölder. Zbl 0275.26022Burkill, J. C. 2 1974 The derivates and approximate derivates of measurable functions. JFM 57.0307.02Burkill, J. C.; Haslam-Jones, U. S. 2 1931 The expression of trigonometrical series in Fourier form. Zbl 0013.26002Burkill, J. C. 2 1936 Fractional orders of integrability. Zbl 0014.25801Burkill, J. C. 2 1936 Differential properties of Young-Stieltjes integrals. Zbl 0031.20701Burkill, J. C. 2 1948 A scale of integrals from Lebesgue’s to Denjoy’s. Zbl 0052.28505Burkill, J. C.; Gehring, F. W. 2 1953 The theory of ordinary differential equations. Zbl 0075.07201Burkill, John Charles 2 1956 Charles-Joseph de la Vallee Poussin (1866-1962). Zbl 0118.01205Burkill, J. C. 2 1964 The fundamental theorem of Denjoy integration. JFM 49.0184.01Burkill, J. C. 1 1923 The expression of area as an integral. JFM 49.0184.02Burkill, J. C. 1 1923 Notes on the differentiability of functions of two variables. JFM 58.1060.03Burkill, J. C.; Haslam-Jones, U. S. 1 1932 The approximately continuous Perron integral. JFM 57.0307.03Burkill, J. C. 1 1931 The Cesaro scales of summation and integration. Zbl 0012.40304Burkill, J. C. 1 1935 On the differentiability of multiple integrals. Zbl 0044.05502Burkill, J. C. 1 1951 Henri Lebesgue. Zbl 0060.01604Burkill, J. C. 1 1944 Polynomial approximations to functions with bounded differences. Zbl 0081.28302Burkill, J. C. 1 1958 A second course in mathematical analysis. Reprint of the 1970 original. Zbl 1021.00001Burkill, J. C.; Burkill, H. 7 2002 Corrigendum: ’Integrals and trigonometric series’. Zbl 0595.26005Burkill, J. C. 2 1983 A second course in mathematical analysis. 1st paperback ed. Zbl 0433.26001Burkill, J. C.; Burkill, H. 3 1980 John Edensor Littlewood. Zbl 0409.01010Burkill, J. C. 2 1979 The concavity of discrepancies in inequalities of the means and of Hölder. Zbl 0275.26022Burkill, J. C. 2 1974 A second course in mathematical analysis. Zbl 0188.11402Burkill, J. C.; Burkill, H. 14 1970 Charles-Joseph de la Vallee Poussin (1866-1962). Zbl 0118.01205Burkill, J. C. 2 1964 The theory of ordinary differential equations. Zbl 0117.30002Burkill, J. C. 9 1962 A first course in mathematical analysis. Zbl 0101.28203Burkill, J. C. 3 1962 Polynomial approximations to functions with bounded differences. Zbl 0081.28302Burkill, J. C. 1 1958 An integral for distributions. Zbl 0081.11303Burkill, J. C. 3 1957 The theory of ordinary differential equations. Zbl 0075.07201Burkill, John Charles 2 1956 A scale of integrals from Lebesgue’s to Denjoy’s. Zbl 0052.28505Burkill, J. C.; Gehring, F. W. 2 1953 Integrals and trigonometric series. Zbl 0042.28403Burkill, J. C. 18 1951 The Lebesgue integral. Zbl 0043.27902Burkill, J. C. 7 1951 On the differentiability of multiple integrals. Zbl 0044.05502Burkill, J. C. 1 1951 Differential properties of Young-Stieltjes integrals. Zbl 0031.20701Burkill, J. C. 2 1948 Henri Lebesgue. Zbl 0060.01604Burkill, J. C. 1 1944 The expression of trigonometrical series in Fourier form. JFM 62.0286.03Burkill, J. C. 2 1936 The expression of trigonometrical series in Fourier form. Zbl 0013.26002Burkill, J. C. 2 1936 Fractional orders of integrability. Zbl 0014.25801Burkill, J. C. 2 1936 The Cesaro-Perron scale of integration. Zbl 0012.20403Burkill, J. C. 11 1935 The Cesàro-Perron scale of integration. JFM 61.0239.02Burkill, J. C. 5 1935 The Cesaro scales of summation and integration. Zbl 0012.40304Burkill, J. C. 1 1935 The Cesaro-Perron integral. Zbl 0005.39202Burkill, J. C. 15 1932 Notes on the differentiability of functions of two variables. Zbl 0005.39104Burkill, J. C.; Haslam-Jones, U. S. 6 1932 The Cesàro-Perron integral. JFM 58.0254.04Burkill, J. C. 3 1932 Notes on the differentiability of functions of two variables. JFM 58.1060.03Burkill, J. C.; Haslam-Jones, U. S. 1 1932 The approximately continuous Perron integral. Zbl 0002.38604Burkill, J. C. 21 1931 The derivates and approximate derivates of measurable functions. Zbl 0002.02005Burkill, J. C.; Haslam-Jones, U. S. 7 1931 The derivates and approximate derivates of measurable functions. JFM 57.0307.02Burkill, J. C.; Haslam-Jones, U. S. 2 1931 The approximately continuous Perron integral. JFM 57.0307.03Burkill, J. C. 1 1931 The expression in Stieltjes integrals of the inversion formulae of Fourier and Hankel. JFM 52.0285.04Burkill, J. C. 4 1926 On Mellin’s inversion formula. JFM 52.0401.01Burkill, J. C. 3 1926 Functions of intervals. JFM 49.0177.02Burkill, J. C. 31 1923 The fundamental theorem of Denjoy integration. JFM 49.0184.01Burkill, J. C. 1 1923 The expression of area as an integral. JFM 49.0184.02Burkill, J. C. 1 1923 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 10 Kubota, Yôto 5 Skvortsov, Valentin Anatol’evich 4 Bullen, Peter S. 4 Vinti, Calogero 3 Boni, Mauro 3 Brandi, Primo 3 Dergachev, A. V. 3 Ganguly, Dilip Kumar 3 Mukherjee, Ranu 3 Salvadori, Anna 3 Sarkhel, D. N. 3 Zitek, Frantisek 2 Bongiorno, Benedetto 2 Burkill, H. 2 Çolak, Rifat 2 Cross, George E. 2 Day, J. T. 2 de Lucia, Paolo 2 Fiacca, Antonella 2 Gesztesy, Fritz 2 Gökhan, Ayşegül 2 Griebel, Michael 2 Kuo, Frances Y. 2 Malý, Jan 2 Mukhopadhyay, Samar K. 2 Ragni, Marcello 2 Richards, Donald St. P. 2 Sklyarenko, V. A. 2 Sloan, Ian Hugh 2 Sunouchi, Gen-ichiro 2 Weikard, Rudi 2 Williams, William O. 1 af Hällström, Gunnar 1 An, Tianqing 1 Angeloni, Laura 1 Anwar, Matloob 1 Applebaum, David B. 1 Baliarsingh, Pinakadhar 1 Bantsuri, L. D. 1 Batra, Romesh C. 1 Belzunce, Félix 1 Binder, Christa 1 Bojanic, Ranko 1 Borgonovo, Emanuele 1 Bosanquet, Lancelot Stephen 1 Bose, Manoj Kumar 1 Bruckner, Andrew M. 1 Brudnyi, Alexander 1 Brudnyi, Yuri A. 1 Brunozzi, Anna Maria 1 Burkill, John Charles 1 Cafiero, Federico 1 Campbell, Gerard M. 1 Candeloro, Domenico 1 Capristo, Annalisa 1 Chen, Yung-Ming 1 Chew, Tuan Seng 1 Clifford, F. E. 1 Cohen, Alan M. 1 D’Aniello, Emma 1 de la Calle Ysern, Bernardo 1 Diaz, Joaquin Basilio 1 Dombrowski, Peter 1 Easton, Richard J. 1 Embrechts, Paul 1 Evans, Michael Jon 1 Farkas, Ábel 1 Fechner, Włodzimierz 1 Feng, Zhilan 1 Forti, Gian Luigi 1 Fujimoto, Junichi 1 Gatti, Stefano 1 Gawthrop, Peter J. 1 Geman, Donald Jay 1 Goffman, Casper 1 Gori Cocchieri, Candida 1 Gori, Candida 1 Grandell, Jan 1 Griffiths, J. D. 1 Hadjicosta, Elena 1 Henstock, Ralph 1 Hildebrandt, Theophil Henry 1 Hlawka, Edmund 1 Ho, Chong 1 Horowitz, Joseph 1 Hunt, Kenneth J. 1 Jacobson, Sheldon H. 1 James, Ralph Duncan 1 Joyce, G. S. 1 Kaetak, K. 1 Karrila, Seppo 1 Koizumi, Sumiyuki 1 Kuncová, Kristýna 1 Lane, Paul G. 1 Langlois, Jean-Pierre P. 1 Laratta, A. 1 Larson, Lee M. 1 Lee, Chengming 1 Lee, Peng Yee 1 Leitch, R. R. ...and 68 more Authors all top 5 Cited in 73 Serials 15 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Journal of Mathematical Analysis and Applications 7 Tôhoku Mathematical Journal. Second Series 7 Proceedings of the Japan Academy 5 Analysis Mathematica 5 Czechoslovak Mathematical Journal 5 Transactions of the American Mathematical Society 4 International Journal of Mathematical Education in Science and Technology 4 Mathematical Notes 4 Acta Mathematica 3 Archive for Rational Mechanics and Analysis 3 Bulletin of the Australian Mathematical Society 3 Moscow University Mathematics Bulletin 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematica Slovaca 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Rendiconti del Seminario Matematico della Università di Padova 3 Acta Mathematica Hungarica 3 Aequationes Mathematicae 2 Mathematics of Computation 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Journal of Optimization Theory and Applications 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Journal of the Australian Mathematical Society 2 Bulletin of the American Mathematical Society 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Archive for History of Exact Sciences 1 International Journal of Engineering Science 1 International Journal of Systems Science 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Psychometrika 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Archiv der Mathematik 1 Automatica 1 Compositio Mathematica 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Scandinavian Actuarial Journal 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Complexity 1 Mathematica Bohemica 1 European Journal of Operational Research 1 Historia Mathematica 1 Expositiones Mathematicae 1 Test 1 Formal Methods in System Design 1 Journal of Mathematical Sciences (New York) 1 Economic Theory 1 NTM. Neue Serie 1 Journal of Biological Systems 1 Thai Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Sarajevo Journal of Mathematics 1 Physical Review, II. Series 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 European Journal of Mathematics all top 5 Cited in 32 Fields 50 Real functions (26-XX) 23 Measure and integration (28-XX) 13 Functional analysis (46-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 7 Numerical analysis (65-XX) 6 History and biography (01-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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