Results 1 to 10 of about 18,466 (195)
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
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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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Refining trigonometric inequalities by using Padé approximant [PDF]
Journal of Inequalities and Applications, 2018 A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided.
Zhen Zhang, Huaqing Shan, Ligeng Chen
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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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Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions [PDF]
Journal of Inequalities and Applications, 2018 The authors obtain some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions and generalize some known inequalities.
Li-Guo Huang +3 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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Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]
, 2010 In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
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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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