Download Analytic and Geometric Inequalities and Applications by Tsuyoshi Ando (auth.), Themistocles M. Rassias, Hari M. PDF

By Tsuyoshi Ando (auth.), Themistocles M. Rassias, Hari M. Srivastava (eds.)

Analytic and Geometric Inequalities and purposes is dedicated to contemporary advances in a number of inequalities of Mathematical research and Geo­ metry. matters handled during this quantity contain: Fractional order inequalities of Hardy style, differential and essential inequalities with preliminary time range­ ence, multi-dimensional critical inequalities, Opial kind inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and functions in data and matrix conception, distortion inequalities for ana­ lytic and univalent capabilities linked to yes fractional calculus and different linear operators, challenge of infimum within the optimistic cone, alpha-quasi­ convex capabilities outlined by means of convolution with incomplete beta capabilities, Chebyshev polynomials with integer coefficients, extremal difficulties for poly­ nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of a few spouse matrices and limits for the zeros of polynomials, measure of convergence for a category of linear operators, open difficulties on eigenvalues of the Laplacian, fourth order main issue boundary price difficulties, bounds on entropy measures for combined populations in addition to controlling the rate of Brownian movement via its terminal price. A wealth of functions of the above is additionally integrated. we want to convey our appreciation to the prestigious mathematicians who contributed to this quantity. eventually, it's our excitement to recognize the nice cooperation and counsel supplied by way of the employees of Kluwer educational Publishers. June 1999 Themistocles M. Rassias Hari M.

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38 (1993), 419-421]. S. Nadirashvili, New isoperimetric inequalities in mathematical physics, Partial Differential Equations of Elliptic Type, Cortona, 1992, A. Alvino, E. Fabes, and G. Talenti, editors, Cambridge University Press, Symposia Mathematica, vol. 35, Cambridge, 1994, pp. 197-203. S. Nadirashvili, Rayleigh's conjecture on the principal frequency of the clamped plate, Arch. Rational Mech. Anal. 129 (1995), 1-10. E. Payne, Inequalities for eigenvalues of membranes and plates, J. Rational Mech.

RATHER Post-Graduate Department of Mathematics and Statistics University of Kashmir Hazratbal, Srinagar 19006 India Abstract. In this paper we first present an interesting generalization of the Gauss-Lucas Theorem. Next we use this result as a basic tool to prove certain compact generalizations of the well-lmown inequalities of S. stein, P. D. C. J. Rivlin, and others. 1. Introduction and the Main Results The relative position of the real zeros and the critical points of a real differentiable function f(z) is described in the well-known Theorem of Rolle which states that between any two zeros of f(z) lies at least one zero of its derivative f'(z).

But although Yo satisfies the boundary conditions Yo need not be absolutely continuous so that Yo fj. BGo. The problem is that {y~} need not converge weakly to an £1 function. 2) to find that Ko = 64. REMARK. References 1. R. C. Brown and D. B. Hinton, Opial's inequality and oscillation of 2nd order equations, Proc. Amer. Math. Soc. 125 (1997), 1123-1129. 2. C. H. FitzGerald, Opial- Type inequalities that involve higher derivatives, International Series of Numerical Mathematics, Vol. 71 (1984), Bikerhauser Verlag, Basel.

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