Results 71 to 80 of about 18,466 (195)

INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]

Проблемы анализа, 2013
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.
VUORINEN M, BHAYO B. A
doaj  

An inequality for trigonometric polynomials [PDF]

Proceedings of the American Mathematical Society, 1982
Our purpose is to obtain in an elementary way a sharp estimate on the derivative of a trigonometric polynomial of degree ⩽ n \leqslant n at a point θ \theta when the trigonometric polynomial has a known bound at the Chebyshev points and at θ \theta .
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Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications

International Journal of Mathematics and Mathematical Sciences, 2012
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by introducing kernels, weight functions, and multiparameters.
Lokenath Debnath, Bicheng Yang
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On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

Journal of Inequalities and Applications, 2006
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions.
Kokilashvili V, Guven A
doaj  

On Jordan Type Inequalities for Hyperbolic Functions

Journal of Inequalities and Applications, 2010
This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as (sinx)/x and x/sinhx are proved.
R. Klén, M. Visuri, M. Vuorinen
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A Gronwall-type Trigonometric Inequality [PDF]

The American Mathematical Monthly, 2018
We prove that the absolute value of the $n$th derivative of $\cos(\sqrt{x})$ does not exceed $n!/(2n)!$ for all $x>0$ and $n = 0,1,\ldots$ and obtain a natural generalization of this inequality involving the analytic continuation of $\cos(\sqrt{x})$.
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Trigonometric and Hyperbolic Inequalities

, 2011
We prove various new trigonometric and hyperbolic inequalities of Jordan, Wilker, Huygens or Cusa-Huygens type. Connections with bivariate means, as well as monotonicity and convexity properties are pointed out, too.
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A Nice Separation of Some Seiffert-Type Means by Power Means

International Journal of Mathematics and Mathematical Sciences, 2012
Seiffert has defined two well-known trigonometric means denoted by 𝒫 and 𝒯. In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean. Neuman and Sándor completed the list of such means by another hyperbolic mean ℳ. There are
Iulia Costin, Gheorghe Toader
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Integral inequalities for trigonometric polynomials in periodic Morrey spaces

Современная математика: Фундаментальные направления
In this paper, we present a detailed exposition of Bernstein’s inequality, inequalities of different metrics and different dimensions for trigonometric polynomials in periodic Morrey spaces.
D. J. Joseph
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GENERALIZED GUDERMANNIAN FUNCTION

Проблемы анализа, 2018
Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean.
Neuman Edward
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