Analytic and geometric inequalities and applications / Book / edited by Themistocles M. Rassias and Hari 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; Grüss' inequality; Laguerre-Samuelson inequality; Opial 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. Audience: This book will be of interest to mathematicians whose work involves real functions, functions of a complex variable, special functions, integral transforms, operational calculus, or functional analysis.

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