A criterion for the solvability of the multiple interpolation problem by simple partial fractions

2014 ◽  
Vol 55 (4) ◽  
pp. 611-621 ◽  
Author(s):  
M. A. Komarov
Keyword(s):  
Interpolation Problem ◽  
Multiple Interpolation ◽  
Partial Fractions

scholarly journals Multiple interpolation in the Privalov classes in a disk

Filomat ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 271-286
Author(s):  
Eugenia Gennad’evna Rodikova
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Interpolation Problem ◽  
Sufficient Conditions ◽  
Explicit Construction ◽  
Multiple Interpolation

For all 0 < q < +? the Privalov class ?q consists of all analytic functions f in a unit disk such that sup 0?r<1 1/2? ??,-? (ln+ |f(rei?)|)q d?< +?. In this paper we solve a multiple interpolation problem in the class ?q for all 0 < q < 1. Namely, we find the sufficient conditions for the explicit construction of the function that solves the interpolation problem in the Privalov class. In addition, we discuss the necessity of these conditions.

scholarly journals Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Maria Italia Gualtieri ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Interpolation Problem ◽  
Boundary Value ◽  
Computational Tools ◽  
Numerical Examples ◽  
Odd Order ◽  
Uniqueness Of The Solution ◽  
Type Boundary

AbstractGeneral nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.

Rethinking factor analysis as an interpolation problem

Statistics ◽  
1988 ◽  
Vol 19 (3) ◽  
pp. 359-367 ◽  
Author(s):  
A. Van der linde
Keyword(s):  
Factor Analysis ◽  
Interpolation Problem

scholarly journals An interpolation problem on the circle between Lagrange and Hermite problems

2017 ◽  
Vol 215 ◽  
pp. 118-144 ◽  
Author(s):  
E. Berriochoa ◽  
A. Cachafeiro ◽  
J.M. García Amor
Keyword(s):  
Interpolation Problem
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