Results 1 to 10 of about 18,585 (194)
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities [PDF]
Advances in Difference Equations, 2018 In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker–Cusa–Huygens type.
Branko Malešević +3 more
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New trigonometric and hyperbolic inequalities [PDF]
Miskolc Mathematical Notes, 2017 The aim of this paper is to prove new trigonometric and hyperbolic inequalities, which constitute among others refinements or analogs of famous Cusa-Huygens, Wu-Srivastava, and related inequalities. In most cases, the obtained results are sharp.
Bhayo, Barkat Ali +2 more
core +6 more sources
Sharp Inequalities for Trigonometric Functions [PDF]
Abstract and Applied Analysis, 2014 We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.
Zhen-Hang Yang +3 more
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On the Generalization for Some Power-Exponential-Trigonometric Inequalities
Mathematics, 2019 In this paper, we introduce and prove several generalized algebraic-trigonometric inequalities by considering negative exponents in the inequalities.
Anibal Coronel, Péter Kórus
exaly +3 more sources
The natural algorithmic approach of mixed trigonometric-polynomial problems [PDF]
Journal of Inequalities and Applications, 2017 The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities of the form ∑ i = 1 n α i x p i cos q i x sin r i x > 0 $$\sum_{i=1}^{n}\alpha _{i}x^{p_{i}} \cos ^{q_{i}} x\sin ^{r_{i}} x>0 $$ by reducing them ...
Tatjana Lutovac +2 more
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Bernstein-Nikol'skii-type inequalities for trigonometric polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2022 We obtain order estimates for Bernstein-Nikol’skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics. It is established that in the case $ q = \infty $, $ 1
H.M. Vlasyk +3 more
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On Turan-type inequalities for trigonometric polynomials of half-integer order
Researches in Mathematics, 2020 Some exact inequalities of the Turan type are obtained in the paper for trigonometric polynomials $h(x)$ of half-interger order $n+\frac {1}{2}$, $n=1, 2, ...$, such that all $2n+1$ their zeros are real and located on a segment $[0;2\pi )$.
O.V. Polyakov
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
Sercan Turhan
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On the inequality of different metrics for trigonometric polynomials
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The article is devoted to the research question of inequalities for different metrics with trigonometric polynomials. The structure of this exploring, its main components and types, as well as its classical approaches are presented in this article ...
G.A. Yessenbayeva +2 more
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BERNSTEIN-TYPE ESTIMATES FOR THE DERIVATIVES OF TRIGONOMETRIC POLYNOMIALS
Проблемы анализа, 2021 Using the method of amplitude and phase transformations, we obtain sharp inequalities for the derivatives of real-valued trigonometric polynomials. The inequalities are sharp, as there are the corresponding extremal polynomials, for which they become ...
V. I. Danchenko, D. G. Chkalova
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