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

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

Analytic and Geometric Inequalities and purposes is dedicated to fresh advances in a number of inequalities of Mathematical research and Geo­ metry. topics handled during this quantity contain: Fractional order inequalities of Hardy sort, differential and vital inequalities with preliminary time vary­ ence, multi-dimensional essential inequalities, Opial variety inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and purposes in facts and matrix conception, distortion inequalities for ana­ lytic and univalent features linked to sure fractional calculus and different linear operators, challenge of infimum within the confident cone, alpha-quasi­ convex capabilities outlined through convolution with incomplete beta services, 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 boundaries for the zeros of polynomials, measure of convergence for a category of linear operators, open difficulties on eigenvalues of the Laplacian, fourth order problem boundary worth difficulties, bounds on entropy measures for combined populations in addition to controlling the speed of Brownian movement by way of its terminal price. A wealth of functions of the above is usually incorporated. we want to convey our appreciation to the celebrated mathematicians who contributed to this quantity. eventually, it really is our excitement to recognize the effective cooperation and tips supplied by means of the workers of Kluwer educational Publishers. June 1999 Themistocles M. Rassias Hari M.

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129 (1995), 1-10. E. Payne, Inequalities for eigenvalues of membranes and plates, J. Rational Mech. Anal. 4 (1955), 517-529. E. ) 2° Ciclo, Chieti, 1962, pp. 1-58. E. Payne, Isoperimetric inequalities and their applications, SIAM Review 9 (1967), 453-488. E. N. Everitt, editor, Marcel Dekker, New York, 1991, pp. 143-161. E. Payne, G. F. Weinberger, On the ratio of consecutive eigenvalues, J. Math. and Phys. 35 (1956), 289-298 [reprinted in George P6lya: Collected Papers, vol. III: Analysis, J. -C.

Akad. Nauk 332 (1993),436-439 (in Russian) [English translation in Phys. Dokl. 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.

3. W. T. Reid, A generalized Liapunov inequality, J. Differential Equations 13 (1973), 182-196. ON MULTI-DIMENSIONAL INTEGRAL INEQUALITIES AND APPLICATIONS WING-SUM CHEUNG Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong THEMISTOCLES M. RASSIAS Department of Mathematics, National Technical University of Athens, Zografou Campus, Greece Abstract. In this article some new multi-dimensional integral inequalities of the Poincare- and Sobolev-types are established. The methods used are systematic and algorithmic, and are more efficient than the usual eigenvalue-problem techniques.

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