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Remarks on trigonometric inequalities

1992
We consider expansions of ((sin z)/z)m and ((sin z)/z)m / cos z in powers of sin z, which can be used to generate a sequence of two-sided inequalities for ((sin x)/x)m (m = 1, 2, 3,...).
L. Lorch, D. C. Russell
openaire   +1 more source

ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES

Mathematics of the USSR-Izvestiya, 1982
Die Arbeit besteht aus dem Beweis einer Reihe von Integralungleichungen für trigonometrische Polynome. Diese Sätze verallgemeinern klassische Resultate von S. N. Bernstein und A. Zygmund sowie neuere Ergebnisse, unter anderem von V. I. Ivanov, Akhiezer und Sokorozhenko, Krolov und Oswald.
openaire   +2 more sources

A Trigonometric Inequality

Journal of the London Mathematical Society, 1966
openaire   +2 more sources

Exponential trigonometric convex functions and Hermite-Hadamard type inequalities

Mathematica Slovaca, 2021
Mahir Kadakal   +2 more
exaly  

Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, II

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Chao-Ping Chen
exaly  

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