Results 11 to 20 of about 18,720,874 (304)
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Patterson Richard, Lemma Mulatu
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Weakly and weak$^\ast$ $p$-convergent operators
Let $p\in[1,\infty]$. Being motivated by weakly $p$-convergent and weak$^\ast$ $p$-convergent operators between Banach spaces introduced by Fourie and Zeekoei, we introduce and study the classes of weakly $p$-convergent and weak$^\ast$ $p$-convergent ...
Gabriyelyan, Saak
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Band-Limited Functions: L p -Convergence [PDF]
Summary: We consider the set \(B_ p(\Omega)\) (functions of \(L^ p({\mathbb{R}})\) whose Fourier spectrum lies in \([-\Omega,+\Omega]\). We prove that the prolate spheroidal wave functions constitute a basis of this space if and only if \(4 ...
Barceló, Juan Antonio +1 more
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$L^p$-convergence of Bernstein-Kantorovich-type operators [PDF]
Summary: We study a Kantorovich-type modification of the operators introduced by the authors [Approximation properties of recursively defined Bernstein-type operators, preprint 1994] and we characterize their convergence in the \(L^p\)-norm. We also furnish a quantitative estimate of the convergence.
CAMPITI, Michele +1 more
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Unbounded p-Convergence in Lattice-Normed Vector Lattices [PDF]
A net $x_α$ in a lattice-normed vector lattice $(X,p,E)$ is unbounded $p$-convergent to $x\in X$ if $p(|x_α-x|\wedge u)\xrightarrow{o} 0$ for every $u\in X_+$. This convergence has been investigated recently for $(X,p,E)=(X,\lvert\cdot \rvert,X)$ under the name of $uo$-convergence, for $(X,p,E)=(X,\lVert\cdot\rVert,{\mathbb R})$ under the name of $un ...
Aydın A. +3 more
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Asymptotically double lacunry equivalent sequences defined by Orlicz functions
This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double ...
Ayhan Esi
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A Convergent Total Synthesis of (+)-Ineleganolide
: We report the total synthesis of the furanobutenolide-derived diterpenoid (+)-ineleganolide. The synthetic approach relies on a convergent strategy, based on the coupling of two enantioenriched fragments which are derived from (-)-linalool and ...
Benjamin , Gross +3 more
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On p‐Convergence in Measure of a Sequence of Measurable Functions [PDF]
In the study by Papanastassiou and Papachristodoulos, 2009 the notion of p‐convergence in measure was introduced. In a natural way p‐convergence in measure induces an equivalence relation on the space M of all sequences of measurable functions converging in measure to zero. We show that the quotient space ℳ is a complete but not compact metric space.
BOCCUTO, Antonio +2 more
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Quartic Lp-convergence of cubic Riemannian splines [PDF]
Abstract We prove quartic convergence of cubic spline interpolation for curves into Riemannian manifolds as the grid size of the interpolation grid tends to zero. In contrast to cubic spline interpolation in Euclidean space, where this result is classical, the interpolation operator is no longer linear.
Hanne Hardering, Benedikt Wirth
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