Results 111 to 116 of about 338 (116)
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An alternative proof of an inequality by Zhu

, 2020
In this short note, we provide a new and relatively simple proof of an inequality established by Zhu in 2009. The main tools employed are Lazarevic inequality and the arithmetic-geometric mean inequality.
K. Nantomah
semanticscholar   +1 more source

Strictly positive definite kernels on the $2$-sphere: beyond radial symmetry

, 2020
The paper introduces a new characterisation of strict positive definiteness for kernels on the 2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The results use the series expansion of the kernel in spherical harmonics.
Janin Jager
semanticscholar   +1 more source

Further Results on the Logarithmic Integral

Sarajevo Journal of Mathematics
The logaritmic integral li$( x^r)$ and its associated functions li$ _+ ( x^r)$ and li$_-(x^r)$ are defined as locally summable functions on the real line and their derivatives are found as distributions.
B. Fisher   +2 more
semanticscholar   +1 more source

Some Commutative Neutrix Convolutions Involving the Fresnel Integrals

Sarajevo Journal of Mathematics
The Fresnel cosine integral C$(x)$, the Fresnel sine integral S$(x)$ and the associated functions $C_+(x)$, $C_-(x)$, $S_+(x)$ and $S_-(x)$ are defined as locally summable functions on the real line. Some convolutions and commutative neutrix convolutions
Brian Fisher   +2 more
semanticscholar   +1 more source

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