An inequality for the ratio of polynomials

IF 0.1 Q4 MATHEMATICS Elemente der Mathematik Pub Date : 2021-09-09 DOI:10.4171/em/463
H. Alzer
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Abstract

References: [1] Á. Besenyei, Picard’s weighty proof of Chebyshev’s sum inequality, Math. Mag. 91 (2018), 366-371. · Zbl 1407.26019 [2] P. L. Butzer and F. Jongmans, P. L. Chebyshev (1821-1894). A guide to his life and work, J. Approx. Theory 96 (1999), 111-138. · Zbl 0934.01017 [3] D. Ž. Djoković, On Tchebychef’s inequality, Mat. Vesnik 1 (1964), 52. · Zbl 0121.28903 [4] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1952. · Zbl 0047.05302 [5] G. V. Milovanović, D. S. Mitrinović and T. M. Rassias, Topics in Polynomials: Extremal Problems, Inequal-ities, Zeros, World Scientific, Singapore, 1994. [6] A. B. Soble, Majorants for polynomial derivatives, Amer. Math. Monthly 64 (1957), 639-643. · Zbl 0081.28401 [7] Horst Alzer Morsbacher Straße 10 [8] Waldbröl, Germany h.alzer@gmx.de This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.
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多项式之比的一个不等式
参考资料:[1]Á。贝森耶,皮卡德对切比雪夫和不等式的重要证明,数学。Mag. 91(2018), 366-371。P. L. Butzer和F. Jongmans, P. L. Chebyshev(1821-1894)。他的生活和工作指南。理论96(1999),111-138。·Zbl 0934.01017 [3] D. Ž。德约科维奇,论切比切夫不等式,马特·维斯尼克1(1964),第52页。·Zbl 0121.28903 [4] G. H. Hardy, J. E. Littlewood和G. Pólya,不等式,剑桥大学出版社,剑桥,1952年。·G. V. milovanoviki, D. S. mitrinoviki, T. M. Rassias,多项式:极值问题,不等式,零,世界科学,新加坡,1994。[10]苏波,多项式导数的主要性质,[j]。数学。月刊64(1957),639-643。·Zbl 0081.28401 [7] Horst Alzer Morsbacher Straße 10 [8] Waldbröl, Germany h.alzer@gmx.de本参考文献列表基于出版商或数字数学图书馆提供的信息。它的项启发式地与zbMATH标识符匹配,并且可能包含数据转换错误。它试图尽可能准确地反映原论文中列出的参考文献,而不要求匹配的完整性或完美精度。
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