Аннотация:
Получены точные многомерные аналоги неравенства В. А. Маркова для производных
от полиномов на центрально-симметричных выпуклых телах.
Библиография: 17 наименований.
Образец цитирования:
В. И. Скалыга, “Границы производных от полиномов на центрально-симметричных выпуклых телах”, Изв. РАН. Сер. матем., 69:3 (2005), 179–192; Izv. Math., 69:3 (2005), 607–621
Lorenzo Baldi, Lucas Slot, “Degree Bounds for Putinar's Positivstellensatz on the Hypercube”, SIAM J. Appl. Algebra Geometry, 8:1 (2024), 1
Moslehian M.S., Munoz-Fernandez G.A., Peralta A.M., Seoane-Sepulveda J.B., “Similarities and Differences Between Real and Complex Banach Spaces: An Overview and Recent Developments”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 116:2 (2022), 88
Chatzakou M. Sarantopoulos Ya., “Bernstein and Markov-Type Inequalities For Polynomials on l-P (Mu) Spaces”, Dolomit. Res. Notes Approx., 12:SI (2019), 16–28
Jimenez-Rodriguez P., Munoz-Fernandez G.A., Pellegrino D., Seoane-Sepulveda J.B., “Bernstein-Markov type inequalities and other interesting estimates for polynomials on circle sectors”, Math. Inequal. Appl., 20:1 (2017), 285–300
Goldman G., “A Case of Multivariate Birkhoff Interpolation Using High Order Derivatives”, J. Approx. Theory, 223 (2017), 19–28
Gamez-Merino J.L., Munoz-Fernandez G.A., Sanchez V.M., Seoane-Sepulveda J.B., “Inequalities for Polynomials on the Unit Square via the Krein-Milman Theorem”, J. Convex Anal., 20:1 (2013), 125–142
Lawrence A. Harris, “A bivariate Markov inequality for Chebyshev polynomials of the second kind”, Journal of Approximation Theory, 2011
Munoz-Fernandez G.A., Sanchez V.M., Seoane-Sepulveda J.B., “L-P-Analogues of Bernstein and Markov Inequalities”, Mathematical Inequalities & Applications, 14:1 (2011), 135–145
Harris L.A., “A proof of Markov's theorem for polynomials on Banach spaces”, J. Math. Anal. Appl., 368:1 (2010), 374–381
Muñoz-Fernández G.A., Révész S.Gy., Seoane-Sepúlveda J.B., “Geometry of homogeneous polynomials on non symmetric convex bodies”, Math. Scand., 105:1 (2009), 147–160
В. И. Скалыга, “Теоремы В. А. Маркова в нормированных пространствах”, Изв. РАН. Сер. матем., 72:2 (2008), 193–222; V. I. Skalyga, “V. A. Markov's theorems in normed spaces”, Izv. Math., 72:2 (2008), 383–412
В. И. Скалыга, “Аналог неравенства А. А. Маркова для полиномов от двух переменных”, Матем. сб., 199:9 (2008), 149–160; V. I. Skalyga, “Analogue of A. A. Markov's inequality for polynomials in two variables”, Sb. Math., 199:9 (2008), 1409–1420
Harris L.A., “Multivariate Markov polynomial inequalities and Chebyshev nodes”, J. Math. Anal. Appl., 338:1 (2008), 350–357
В. И. Скалыга, “Условия точности в многомерных аналогах неравенства В. А. Маркова”, Матем. заметки, 80:6 (2006), 950–953; V. I. Skalyga, “Sharpness conditions in multidimensional analogs of V. A. Markov's inequality”, Math. Notes, 80:6 (2006), 893–897
Цитирование в формате AMSBIB
Обратная связь: