Results 21 to 30 of about 329,423 (69)
The Best Bounds in Gautschi-Kershaw Inequalities [PDF]
, 2005 By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng +5 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite‐Hadamard (HH), and Fejér (F) type inequalities for introduced class ...
Yi Ma +4 more
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Schur-convexity for compositions of complete symmetric function dual
Journal of Inequalities and Applications, 2020 The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.
Huan-Nan Shi, Pei Wang, Jian Zhang
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Optimal Sliding Mode Preview Repetitive Control for Three‐Phase Z‐Source Inverters
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Aiming at high output voltage and obvious current fluctuation of the off grids inverters with unbalanced and nonlinear loads, a compound control strategy of sliding mode controller and optimal preview controller based on Z‐source inverter (ZSI) is proposed.
Jian-De Yan +3 more
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Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials
Studies in Applied Mathematics, Volume 146, Issue 1, Page 3-80, January 2021., 2021 Abstract We analyze a random lozenge tiling model of a large regular hexagon, whose underlying weight structure is periodic of period 2 in both the horizontal and vertical directions. This is a determinantal point process whose correlation kernel is expressed in terms of non‐Hermitian matrix valued orthogonal polynomials (OPs).
Christophe Charlier
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Some Bohr‐Type Inequalities for Bounded Analytic Functions
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, some new versions of Bohr‐type inequalities with one parameter or involving convex combination for bounded analytic functions of Schwarz function are established. Some previous inequalities are generalized. All the results are sharp.
Hong Wang, Ming-Sheng Liu
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Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional
, 2009 The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed.
Zhang, Jian, Shi, Huan-Nan
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The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions
Journal of Function Spaces, 2018 We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result.
Ming-bao Sun +3 more
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A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications
Journal of Applied Mathematics, 2013 We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n-dimensional simplex are established.
Huan-Nan Shi, Jing Zhang
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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