Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. [PDF]
Adv Differ Equ, 2018 In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities.
Malešević B +3 more
europepmc +2 more sources
Sharpness of Wilker and Huygens type inequalities [PDF]
, 2012 We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.
Chen, CP, Cheung, WS
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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Monotonicity results and bounds for the inverse hyperbolic sine [PDF]
, 2009 In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine.
B-N Guo +14 more
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Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]
, 2012 In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
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On some inequalities for the identric, logarithmic and related means [PDF]
, 2015 We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.Comment:
Bhayo, Barkat Ali, Sándor, József
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On the Supremum of Random Dirichlet Polynomials [PDF]
, 2006 We study the supremum of some random Dirichlet polynomials and obtain sharp upper and lower bounds for supremum expectation that extend the optimal estimate of Hal\'asz-Queff\'elec and enable to cunstruct random polynomials with unusually small maxima.
Lifshits, Mikhail, Weber, Michel
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The maximum modulus of a trigonometric trinomial [PDF]
, 2007 Let Lambda be a set of three integers and let C_Lambda be the space of 2pi-periodic functions with spectrum in Lambda endowed with the maximum modulus norm.
D. I. Cartwright +22 more
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Singular Oscillatory Integrals on R^n
, 2009 Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery +3 more
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Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm [PDF]
, 2013 Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality holds (log y1)^2 + (log y2)^2 + (log y3)^2 >= (log a1)^2 + (log a2)^2 + (log
Birsan, Mircea +2 more
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