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zengő–Szász inequality

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1: 18.14 Inequalities
§18.14 Inequalities
Legendre
Jacobi
Szegő–Szász Inequality
2: 1.7 Inequalities
§1.7 Inequalities
Cauchy–Schwarz Inequality
Minkowski’s Inequality
Cauchy–Schwarz Inequality
§1.7(iv) Jensen’s Inequality
3: Bibliography Z
  • J. Zeng (1992) Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials. Proc. London Math. Soc. (3) 65 (1), pp. 1–22.
  • 4: Bibliography S
  • I. J. Schoenberg (1971) Norm inequalities for a certain class of C  functions. Israel J. Math. 10, pp. 364–372.
  • J. Segura (2011) Bounds for ratios of modified Bessel functions and associated Turán-type inequalities. J. Math. Anal. Appl. 374 (2), pp. 516–528.
  • H. Skovgaard (1954) On inequalities of the Turán type. Math. Scand. 2, pp. 65–73.
  • O. Szász (1950) On the relative extrema of ultraspherical polynomials. Boll. Un. Mat. Ital. (3) 5, pp. 125–127.
  • O. Szász (1951) On the relative extrema of the Hermite orthogonal functions. J. Indian Math. Soc. (N.S.) 15, pp. 129–134.
  • 5: Bibliography M
  • R. C. McCann (1977) Inequalities for the zeros of Bessel functions. SIAM J. Math. Anal. 8 (1), pp. 166–170.
  • S. C. Milne (1997) Balanced Θ 2 3 summation theorems for U ( n ) basic hypergeometric series. Adv. Math. 131 (1), pp. 93–187.
  • D. S. Mitrinović (1964) Elementary Inequalities. P. Noordhoff Ltd., Groningen.
  • D. S. Mitrinović (1970) Analytic Inequalities. Springer-Verlag, New York.
  • C. Mortici (2013b) Further improvements of some double inequalities for bounding the gamma function. Math. Comput. Modelling 57 (5-6), pp. 1360–1363.
  • 6: Edward Neuman
    Neuman has published several papers on approximations and expansions, special functions, and mathematical inequalities. …
    7: 4.32 Inequalities
    §4.32 Inequalities
    For these and other inequalities involving hyperbolic functions see Mitrinović (1964, pp. 61, 76, 159) and Mitrinović (1970, p. 270).
    8: 6.8 Inequalities
    §6.8 Inequalities
    9: Bibliography Q
  • F. Qi and J. Mei (1999) Some inequalities of the incomplete gamma and related functions. Z. Anal. Anwendungen 18 (3), pp. 793–799.
  • F. Qi (2008) A new lower bound in the second Kershaw’s double inequality. J. Comput. Appl. Math. 214 (2), pp. 610–616.
  • 10: 10.37 Inequalities; Monotonicity
    §10.37 Inequalities; Monotonicity
    For sharper inequalities when the variables are real see Paris (1984) and Laforgia (1991). …