Innovating Works

MTM2014-59174-P

Financiado
METODOS EN APROXIMACION CONSTRUCTIVA Y ANALISIS DE FOURIER
THIS PROJECT IS A NATURAL CONTINUATION OF THE PROJECT MTM 2011-27637, THE PROJECT DEALS WITH CERTAIN ASPECTS OF FUNCTIONAL AND FOURIER ANALYSIS, APPROXIMATION THEORY, AND EXTREMAL PROBLEMS, OUR GOAL IS TO STUDY IS TO DEVELOP THE T... THIS PROJECT IS A NATURAL CONTINUATION OF THE PROJECT MTM 2011-27637, THE PROJECT DEALS WITH CERTAIN ASPECTS OF FUNCTIONAL AND FOURIER ANALYSIS, APPROXIMATION THEORY, AND EXTREMAL PROBLEMS, OUR GOAL IS TO STUDY IS TO DEVELOP THE THEORY OF THE STRONG INEQUALITIES FOR INTEGRAL OPERATORS, TO PROVE SEVERAL RESULTS IN CONSTRUCTIVE APPROXIMATION INCLUDING SHARP TURAN-REMEZ INEQUALITY, TO STUDY WIENER’S PROBLEM FOR POSITIVELY DEFINITIVE FUNCTIONS, TO DEVELOP THE EXTREMAL PROBLEMS ON THE SPHERE RELATED TO LINEAR PROGRAMMING PROBLEM,THE PROJECT INCLUDES 3 MAIN TOPICS:• STRONG TYPE INEQUALITIES FOR INTEGRAL OPERATORS,• METHODS OF APPROXIMATION THEORY,• EXTREMAL PROBLEMS,IN THE FIRST TOPIC WE STUDY THE STRONG TYPE INEQUALITIES OF THE GENERAL INTEGRAL OPERATORS WITH AN EMPHASIS ON THE FOURIER TRANSFORM TYPE OPERATORS: 1A, WEIGHTED OPTIMAL STRONG TYPE INEQUALITIES, 1B, BOAS PROBLEM, 1C, SHARP PITT INEQUALITIES, IN THE SECOND QUESTION, WE INVESTIGATE PROBLEMS OF APPROXIMATION THEORY:2A, SHARP LOCAL INEQUALITIES, 2B, SHARP INEQUALITIES FOR THE K-FUNCTIONALS/MODULI OF SMOOTHNESS, RIEMANN-LEBESGUE TYPE INEQUALITIES, 2C, REVERSE HOLDER INEQUALITIES,FINALLY, IN THE LAST TOPIC, WE STUDY THE FOLLOWING EXTREMAL PROBLEMS:3A, EXTREMAL PROBLEMS ON THE SPHERE,3B, SHARP CONSTANTS IN WIENER’S PROBLEM, TEORÍA DE LA APROXIMACIÓN\ANÁLISIS FUNCIONAL\ANÁLISIS DE FOURIER\PROBLEMAS EXTREMALES ver más
01/01/2014
CONSORCI CENTRE DE...
7K€
Perfil tecnológico estimado

Línea de financiación: concedida

El organismo AGENCIA ESTATAL DE INVESTIGACIÓN notifico la concesión del proyecto el día 2014-01-01
Presupuesto El presupuesto total del proyecto asciende a 7K€
Líder del proyecto
CONSORCI CENTRE DE RECERCA MATEMATICA Otra investigación y desarrollo experimental en ciencias naturales y técnicas otros tipos
Perfil tecnológico TRL 4-5 50K