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3 Lemmas for Theorem 2.14 Lemmas for Theorem 2.7; 5 Proofs; References; On Bernstein-Type Inequalities for the Polar Derivativeof a Polynomial; 1 Introduction; 2 Bounds on the Uniform Norm of Polar Derivative of a Polynomial; 2.1 Inequalities for Polynomials with no Restriction on Their Zeros; 2.2 Inequalities for Polynomials Having no Zeros in a Circle; 2.3 Inequalities for Polynomials Having all Their Zeros in a Circle; 3 Bounds on the Integral Mean Values of Polar Derivative of a Polynomial; 3.1 Inequalities for Polynomials with no Restriction on Their Zeros
3.2 Inequalities for Polynomials Having no Zeros in a Circle3.3 Inequalities for Polynomials Having all Their Zeros in a Circle; References; On Two Inequalities for Polynomials in the Unit Disk; 1 Introduction; 2 Background Material; 3 Theorem 1.1 Implies Theorem 1.2; 4 Cases of Equality; References; Inequalities for Integral Norms of Polynomials via Multipliers; 1 The Schur-Szegő Composition and Polynomial Inequalities; 2 Polynomial Inequalities in Bergman Spaces; 3 Proofs; References; Some Rational Inequalities Inspired by Rahman's Research; 1 General Introduction
2 Bernstein-Type Inequalities for Rational Functions with Prescribed Poles3 Comparison Inequalities; 4 Comparison Inequality for Rational Functions; 5 An Inequality of De Bruijn; 6 An Integral Formula; 7 Proofs of Theorems 5-7 and 10 in Sect.2; 8 Proof of Theorem 16 in Sect.4; 9 Proof of Theorem 18 in Sect.5; References; On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials; 1 Introduction; 2 Weights on [ -1,1] ; 3 Even Weights on ( -∞,∞) ; 4 The Non-Even, Not Necessarily Unbounded Case; References
Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials1 Introduction; 2 Solutions of the Polarization of a Complex Polynomial; 3 Loci and Extended Loci of Complex Polynomials; 3.1 Examples of Loci; 4 Argument Coincidence Theorem; References; Vector Inequalities for a Projection in Hilbert Spaces and Applications; 1 Introduction; 2 Vector Inequalities for a Projection; 3 Inequalities for Norm and Numerical Radius; References; A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function; 1 Introduction
3.2 Inequalities for Polynomials Having no Zeros in a Circle3.3 Inequalities for Polynomials Having all Their Zeros in a Circle; References; On Two Inequalities for Polynomials in the Unit Disk; 1 Introduction; 2 Background Material; 3 Theorem 1.1 Implies Theorem 1.2; 4 Cases of Equality; References; Inequalities for Integral Norms of Polynomials via Multipliers; 1 The Schur-Szegő Composition and Polynomial Inequalities; 2 Polynomial Inequalities in Bergman Spaces; 3 Proofs; References; Some Rational Inequalities Inspired by Rahman's Research; 1 General Introduction
2 Bernstein-Type Inequalities for Rational Functions with Prescribed Poles3 Comparison Inequalities; 4 Comparison Inequality for Rational Functions; 5 An Inequality of De Bruijn; 6 An Integral Formula; 7 Proofs of Theorems 5-7 and 10 in Sect.2; 8 Proof of Theorem 16 in Sect.4; 9 Proof of Theorem 18 in Sect.5; References; On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials; 1 Introduction; 2 Weights on [ -1,1] ; 3 Even Weights on ( -∞,∞) ; 4 The Non-Even, Not Necessarily Unbounded Case; References
Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials1 Introduction; 2 Solutions of the Polarization of a Complex Polynomial; 3 Loci and Extended Loci of Complex Polynomials; 3.1 Examples of Loci; 4 Argument Coincidence Theorem; References; Vector Inequalities for a Projection in Hilbert Spaces and Applications; 1 Introduction; 2 Vector Inequalities for a Projection; 3 Inequalities for Norm and Numerical Radius; References; A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function; 1 Introduction