On the Number of Nonnegative Sums for Semi-partitions
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DOI: 10.1007/s00373-021-02393-8
Abstract: Let $$[n]=\{1,2,\dots , n\}$$ . Let $$\left( {\begin{array}{c}[n]\\ k\end{array}}\right) $$ be the family of all subsets of [n] of size k. Define a real-valued weight function w on the set $$\left( {\begin{array}{c}[n]\\ k\end{array}}\right) $$ such… read more here.
Keywords: begin array; end array; left begin; array right ... See more keywords
Entangled Fourier Transformation and its Application in Weyl-Wigner Operator Ordering and Fractional Squeezing
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DOI: 10.1007/s10773-019-04066-y
Abstract: In order to entangle the functions to be transformed, we proposed the entangled. Fourier integration transformation (EFIT) which has the property of keeping modulus-invariant for its inverse transformation. Then we then studied Wigner operator’s EFIT… read more here.
Keywords: left right; operator; begin array; array end ... See more keywords
An Improvement of the General Bound on the Largest Family of Subsets Avoiding a Subposet
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DOI: 10.1007/s11083-016-9390-3
Abstract: Let La(n, P) be the maximum size of a family of subsets of [n] = {1, 2, … , n} not containing P as a (weak) subposet, and let h(P) be the length of a… read more here.
Keywords: begin array; left begin; family; right left ... See more keywords
Eigenvalues for a combination between local and nonlocal p-Laplacians
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DOI: 10.1515/fca-2019-0074
Abstract: Abstract In this paper we study the Dirichlet eigenvalue problem −Δpu−ΔJ,pu=λ|u|p−2u in Ω,u=0 in Ωc=RN∖Ω.$$\begin{array}{} \displaystyle -\Delta_p u-\Delta_{J,p}u =\lambda|u|^{p-2}u \text{ in } \Omega,\quad u=0 \, \text{ in } \, \Omega^c=\mathbb{R}^N\setminus\Omega. \end{array}$$ Here Ω is a bounded domain in ℝN,… read more here.
Keywords: begin array; array; array displaystyle; end array ... See more keywords
Recursive interpolating sequences
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DOI: 10.1515/math-2018-0044
Abstract: Abstract This paper is devoted to pose several interpolation problems on the open unit disk ???? of the complex plane in a recursive and linear way. We look for interpolating sequences (zn) in ???? so… read more here.
Keywords: begin array; array end; interpolating sequences; end array ... See more keywords
The hyperbolic polygons of type (ϵ, n) and Möbius transformations
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DOI: 10.1515/math-2020-0015
Abstract: Abstract An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2 $\begin{array}{} \frac{\pi}{2} \end{array} $ + ϵ, θ1, θ2, …, θn−2, π2 $\begin{array}{} \frac{\pi}{2} \end{array} $ − ϵ,… read more here.
Keywords: begin array; array; end array; array frac ... See more keywords
The amalgam space L(p,q)π $\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G) on IN-groups
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DOI: 10.1515/ms-2017-0337
Abstract: Abstract Let G be an IN-group and 0 < p, q < ∞. In this paper, we determine necessary and sufficient conditions for the existence of the convolution of functions, in the amalgam space L(p,q)π… read more here.
Keywords: begin array; end array; space begin; array end ... See more keywords
Density of summable subsequences of a sequence and its applications
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DOI: 10.1515/ms-2017-0379
Abstract: Abstract Let x = {xn}n=1∞ $\begin{array}{} \displaystyle \{x_n\}_{n=1}^{\infty} \end{array}$ be a sequence of positive numbers, and ????x be the collection of all subsets A ⊆ ℕ such that ∑k∈A $\begin{array}{} \displaystyle \sum_{k\in A} \end{array}$ xk… read more here.
Keywords: summable subsequences; begin array; sequence; density summable ... See more keywords
Monotone transformations on the cone of all positive semidefinite real matrices
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DOI: 10.1515/ms-2017-0386
Abstract: Abstract Let Hn+ $\begin{array}{} \displaystyle H_{n}^{+} \end{array}$(ℝ) be the cone of all positive semidefinite (symmetric) n × n real matrices. Matrices from Hn+ $\begin{array}{} \displaystyle H_{n}^{+} \end{array}$(ℝ) play an important role in many areas of… read more here.
Keywords: begin array; array displaystyle; real matrices; end array ... See more keywords
Quadratic refinements of Young type inequalities
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DOI: 10.1515/ms-2017-0416
Abstract: Abstract In this paper, we mainly give some quadratic refinements of Young type inequalities. Namely: (va+(1−v)b)2−v∑j=1N2j(b−ab2j−12j)2≤(avb1−v)2+v2(a−b)2 $$\begin{array}{} \displaystyle (va+(1-v)b)^{2}-v{{\sum\limits_{j=1}^N}}2^{j}\Big(b- \sqrt[2^{j}]{ab^{2^{j}-1} }\, \Big)^{2}\leq(a^{v}b^{1-v})^{2}+v^{2}(a-b)^{2} \end{array}$$ for v ∉ [0, 12N+1 $\begin{array}{} \displaystyle \frac{1}{2^{N+1}} \end{array}$], N ∈ ℕ,… read more here.
Keywords: begin array; array; young type; refinements young ... See more keywords
A Raman calibration for the quantification of SO42− groups dissolved in silicate glasses: Application to natural melt inclusions
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DOI: 10.2138/am-2017-6100
Abstract: Abstract Sulfur is an important volatile element involved in magmatic systems. Its quantification in silicate glasses relies on state-of-the-art techniques such as electronprobe microanalyses (EPMA) or X-ray absorption spectroscopy but is often complicated by the… read more here.
Keywords: begin array; silicate glasses; array; end array ... See more keywords