Entropic Inequalities and Properties of Some Special Functions

被引:0
|
作者
Vladimir I. Man’ko
L. A. Markovich
机构
[1] Russian Academy of Sciences,P. N. Lebedev Physical Institute
[2] Moscow Institute of Physics and Technology (State University),Institute of Control Sciences
[3] Russian Academy of Sciences,undefined
来源
关键词
Jacobi polynomials; Legendre polynomials; entropic inequalities; information inequalities;
D O I
暂无
中图分类号
学科分类号
摘要
Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre polynomials.
引用
收藏
页码:200 / 210
页数:10
相关论文
共 50 条
  • [1] Entropic Inequalities and Properties of Some Special Functions
    Man'ko, Vladimir I.
    Markovich, L. A.
    JOURNAL OF RUSSIAN LASER RESEARCH, 2014, 35 (02) : 200 - 210
  • [2] Tomographic probability and entropic inequalities for special functions
    Pavlo N. Fesenko
    Vladimir I. Man’ko
    Journal of Russian Laser Research, 2010, 31 : 368 - 379
  • [3] TOMOGRAPHIC PROBABILITY AND ENTROPIC INEQUALITIES FOR SPECIAL FUNCTIONS
    Fesenko, Pavlo N.
    Man'ko, Vladimir I.
    JOURNAL OF RUSSIAN LASER RESEARCH, 2010, 31 (04) : 368 - 379
  • [4] INEQUALITIES AND MONOTONICITY PROPERTIES FOR SOME SPECIAL FUNCTIONS
    Chen, Chao-Ping
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (01): : 79 - 91
  • [5] Some inequalities for special functions
    Shehata, Ayman
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [6] Some inequalities for special functions
    Ayman Shehata
    Journal of Inequalities and Applications, 2015
  • [7] Inequalities for some special functions
    Joshi, CM
    Bissu, SK
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 69 (02) : 251 - 259
  • [8] GENERALIZATION OF SOME INEQUALITIES FOR THE SPECIAL FUNCTIONS
    Krasniqi, Valmir
    Merovci, Faton
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2012, 3 (03): : 34 - 40
  • [9] Integral inequalities for some special functions
    Grinshpan, AZ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) : 724 - 735
  • [10] INEQUALITIES AND TURANIANS FOR SOME SPECIAL FUNCTIONS
    Laforgia, A.
    Natalini, P.
    DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, 2007, : 422 - 431