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Applicable Analysis
An International Journal
Volume 14, 1983 - Issue 3
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Original Articles

Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials

Lee LorchView further author information
Pages 237-240 | Received 30 Aug 1982, Published online: 10 May 2007

Citations (18)

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Lee Lorch. (1993) Alternative proof of a sharpened forms of bernstein's inequality for legendre polynomials: corrigendum. Applicable Analysis 50:1-2, pages 47-47.
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Articles from other publishers (17)

Octavian Postavaru, Flavius Dragoi & Antonela Toma. (2022) Considerations regarding the accuracy of fractional numerical computations. Fractional Calculus and Applied Analysis 25:5, pages 1785-1800.
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Che-Yu Chen, Hsu-Wen Chiang & Jie-Shiun Tsao. (2022) Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes. Physical Review D 106:4.
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James Cogdell, Jay Jorgenson & Lejla Smajlović. (2021) Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space. Transactions of the American Mathematical Society 374:9, pages 6769-6796.
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Haiyong Wang. (2018) A new and sharper bound for Legendre expansion of differentiable functions. Applied Mathematics Letters 85, pages 95-102.
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Tom Koornwinder, Aleksey Kostenko & Gerald Teschl. (2018) Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Advances in Mathematics 333, pages 796-821.
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Ben Adcock. (2017) Infinite-Dimensional Compressed Sensing and Function Interpolation. Foundations of Computational Mathematics 18:3, pages 661-701.
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Uffe Haagerup & Henrik Schlichtkrull. (2013) Inequalities for Jacobi polynomials. The Ramanujan Journal 33:2, pages 227-246.
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Kerstin Hesse & Paul Leopardi. (2007) The Coulomb energy of spherical designs on S 2. Advances in Computational Mathematics 28:4, pages 331-354.
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Quentin Carayol & Francis Collino. (2005) Error estimates in the Fast Multipole Method for scattering problems Part 2: Truncation of the Gegenbauer series. ESAIM: Mathematical Modelling and Numerical Analysis 39:1, pages 183-221.
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Jean-David Benamou, Francis Collino & Olof Runborg. (2004) Numerical microlocal analysis of harmonic wavefields. Journal of Computational Physics 199:2, pages 717-741.
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Quentin Carayol & Francis Collino. (2004) Error estimates in the fast multipole method for scattering problems Part 1: Truncation of the Jacobi-Anger series. ESAIM: Mathematical Modelling and Numerical Analysis 38:2, pages 371-394.
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G. Lohöfer. (1998) Inequalities for the Associated Legendre Functions. Journal of Approximation Theory 95:2, pages 178-193.
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Paul Nevai, Tamás Erdélyi & Alphonse P. Magnus. (1994) Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials. SIAM Journal on Mathematical Analysis 25:2, pages 602-614.
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Árpád Elbert & Andrea Laforgia. (1994) An inequality for Legendre polynomials. Journal of Mathematical Physics 35:3, pages 1348-1360.
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Yunshyong Chow, L. Gatteschi & R. Wong. (1994) A Bernstein-type inequality for the Jacobi polynomial. Proceedings of the American Mathematical Society 121:3, pages 703-709.
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G Lohöfer. (1991) Inequalities for Legendre functions and Gegenbauer functions. Journal of Approximation Theory 64:2, pages 226-234.
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Lee Lorch. (1984) Inequalities for ultraspherical polynomials and the gamma function. Journal of Approximation Theory 40:2, pages 115-120.
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