Analytic and Geometric Inequalities and ApplicationsThemistocles M. Rassias, H. M. Srivastava This volume is devoted to recent advances in a variety of inequalities in mathematical analysis and geometry. Subjects dealt with include: differential and integral inequalities; fractional order inequalities of Hardy type; multi-dimensional integral inequalities; Grss' inequality; Laguerre-Samuelson inequality; type inequalities; Furuta inequality; distortion inequalities; problem of infimum in the positive cone; external problems for polynomials; Chebyshev polynomials; bounds for the zeros of polynomials; open problems on eigenvalues of the Laplacian; obstacle boundary value problems; bounds on entropy measures for mixed populations; connections between the theory of univalent functions and the theory of special functions; and degree of convergence for a class of linear operators. A wealth of applications of the above is also included. |
Contents
Open Problems on Eigenvalues of the Laplacian | 13 |
On an Inequality of S Bernstein and the GaussLucas Theorem | 29 |
On MultiDimensional Integral Inequalities and Applications | 53 |
Copyright | |
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Analytic and Geometric Inequalities and Applications Themistocles RASSIAS,Hari M. Srivastava Limited preview - 2012 |
Analytic and Geometric Inequalities and Applications Themistocles M. Rassias,Hari M. Srivastava No preview available - 2012 |
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1999 Kluwer Academic a₁ Amer Analytic and Geometric B₁ Bottema Brownian motion Chebyshev Chebyshev polynomials companion matrix Corollary D. S. Mitrinović defined denote Djordjević eigenvalues entropy equality holds estimate extremal problems fixed positive number fractional calculus function f(z Geometric Inequalities given H.M. Srivastava eds Ineq Inequalities and Applications infimum integral inequalities Kluwer Academic Publishers Laguerre Laguerre-Samuelson Inequality Lemma linear LP space Math Mathematics Mathematics Subject Classification matrix method Milovanović Mitrinović and P. M. monic polynomial Noor obtain operator Opial orthogonal polynomials P. M. Vasić Pečarić proof of Theorem prove R. R. Janić Rassias and H.M. real numbers Remark result ri(t satisfying solution Statistics T.Furuta T.M. Rassias Theorem 3.1 Theorem F theory upper bound variational inequalities Wolters-Noordhoff Publishing zeros