Results 51 to 60 of about 61,133 (171)
Sharpening and generalizations of Carlson's double inequality for the arc cosine function [PDF]
In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.
arxiv
Sharpening and generalizations of Carlson's inequality for the arc cosine function [PDF]
In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.
arxiv
Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform [PDF]
Harvey Dubner, Joseph Abate
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Derivatives of the Lp-cosine transform
The $L^p$-cosine transform of an even, continuous function $f\in C_e(\Sn)$ is defined by: $$H(x)=\int_{\Sn}|\ip{x} |^pf( ) d ,\quad x\in {\R}^n.$$ It is shown that if $p$ is not an even integer then all partial derivatives of even order of $H(x)$ up to order $p+1$ (including $p+1$ if $p$ is an odd integer) exist and are continuous everywhere in ${\R}
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Riemann-Liouville Fractional Cosine Functions [PDF]
In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville $\alpha$-order fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math. Nachr. 288, No. 7, 784-797 (2015)].
arxiv
Fourier Cosine Transforms Whose Real Parts are Non-Negative in a Strip [PDF]
D. V. Widder
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The cosine measure relative to a subspace [PDF]
The cosine measure was introduced in 2003 to quantify the richness of a finite positive spanning sets of directions in the context of derivative-free directional methods. A positive spanning set is a set of vectors whose nonnegative linear combinations span the whole space. The present work extends the definition of cosine measure.
arxiv
Algorithm 90: Evaluation of the fresnal cosine integral [PDF]
John L. Cundiff
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Statistical Advantages of Perturbing Cosine Router in Mixture of Experts [PDF]
The cosine router in Mixture of Experts (MoE) has recently emerged as an attractive alternative to the conventional linear router. Indeed, the cosine router demonstrates favorable performance in image and language tasks and exhibits better ability to mitigate the representation collapse issue, which often leads to parameter redundancy and limited ...
arxiv