Search results for "DF"

showing 10 items of 1699 documents

Strong Converse Results for Linking Operators and Convex Functions

2020

We consider a family B n , ρ c of operators which is a link between classical Baskakov operators (for ρ = ∞ ) and their genuine Durrmeyer type modification (for ρ = 1 ). First, we prove that for fixed n , c and a fixed convex function f , B n , ρ c f is decreasing with respect to ρ . We give two proofs, using various probabilistic considerations. Then, we combine this property with some existing direct and strong converse results for classical operators, in order to get such results for the operators B n , ρ c applied to convex functions.

Pure mathematicsArticle Subject010102 general mathematicsMathematicsofComputing_GENERALProbabilistic logicType (model theory)Mathematical proof01 natural sciences010104 statistics & probabilityTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESBaskakov operatorConverseQA1-939Order (group theory)0101 mathematicsConvex functionLink (knot theory)AnalysisMathematicsMathematicsJournal of Function Spaces
researchProduct

Representation Theorems for Indefinite Quadratic Forms Revisited

2010

The first and second representation theorems for sign-indefinite, not necessarily semi-bounded quadratic forms are revisited. New straightforward proofs of these theorems are given. A number of necessary and sufficient conditions ensuring the second representation theorem to hold is proved. A new simple and explicit example of a self-adjoint operator for which the second representation theorem does not hold is also provided.

Pure mathematicsGeneral MathematicsFOS: Physical sciencesMathematical proofDirac operator01 natural sciencesMathematics - Spectral Theorysymbols.namesakeOperator (computer programming)Simple (abstract algebra)0103 physical sciencesFOS: Mathematics0101 mathematicsSpectral Theory (math.SP)Mathematical PhysicsMathematicsRepresentation theorem010102 general mathematicsRepresentation (systemics)Mathematical Physics (math-ph)16. Peace & justice47A07 47A55 15A63 46C20Functional Analysis (math.FA)Mathematics - Functional AnalysisTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESsymbolsIndefinite quadratic forms ; representation theorems ; perturbation theory ; Krein spaces ; Dirac operator010307 mathematical physicsPerturbation theory (quantum mechanics)
researchProduct

A C0-Semigroup of Ulam Unstable Operators

2020

The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t&ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsMathematicsofComputing_GENERAL02 engineering and technology01 natural sciencesStability (probability)Domain (mathematical analysis)Chebyshev expansion0103 physical sciencescomposition of operatorsData_FILES0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Infinitesimal generatorC0-semigroupNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional Analysis010308 nuclear & particles physicsSemigroupMathematics::Operator Algebraslcsh:MathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Chebyshev expansion020201 artificial intelligence & image processingSymmetry
researchProduct

Ulam Stability for the Composition of Operators

2020

Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable. Another example is concerned with a C 0 -semigroup ( T t ) t &ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsOpen problemBanach space02 engineering and technology01 natural sciencesStability (probability)closed linear subspacescomposition of operators0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)0101 mathematicsNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional AnalysisSemigrouplcsh:Mathematics010102 general mathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Computer Science::Programming Languages020201 artificial intelligence & image processingSymmetry
researchProduct

Generalized F-Contractions on Product of Metric Spaces

2019

Our purpose in this paper is to extend the fixed point results of a &psi

Pure mathematicslcsh:MathematicsGeneral Mathematics<i>ψF</i>-contraction generalized <i>ψF</i>-contraction<i>F</i>-contractionNatural numberFixed pointlcsh:QA1-939Metric spaceTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESfixed pointComputer Science (miscellaneous)Product topologyF contractionHigh Energy Physics::ExperimentEngineering (miscellaneous)MathematicsMathematics
researchProduct

A Note on States and Traces from Biorthogonal Sets

2019

In this paper, following Bagarello, Trapani, and myself, we generalize the Gibbs states and their related KMS-like conditions. We have assumed that H 0 , H are closed and, at least, densely defined, without giving information on the domain of these operators. The problem we address in this paper is therefore to find a dense domain D that allows us to generalize the states of Gibbs and take them in their natural environment i.e., defined in L &dagger

Pure mathematicsnon-Hermitian HamiltoniansGibbs statePhysics and Astronomy (miscellaneous)lcsh:MathematicsGeneral Mathematicsbiorthogonal sets of vector010102 general mathematicsGibbs stateslcsh:QA1-93901 natural sciencesDomain (software engineering)TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSettore MAT/05 - Analisi MatematicaChemistry (miscellaneous)Biorthogonal system0103 physical sciencesComputer Science (miscellaneous)0101 mathematics010306 general physicsMathematicsSymmetry
researchProduct

Synthesis and electronic aspects of tetrahydrobenzothienopyrimidine derivatives

2015

Abstract The chemistry of thiophenes, pyrimidines, triazolopyrimidines and benzothiophenes has drawn much attention because of their biological activities. Their interesting properties are connected with their complex π-electron delocalisation effects. Herein the synthesis, crystal and molecular structures at 100 K and DFT calculated structures of three tetrahydrobenzothienopyrimidine derivatives are reported i.e. 4-hydrazino-5,6,7,8-tetrahydro[1]benzothieno[2,3-d]pyrimidine which was a substrate for 2-phenyl-8,9,10,11-tetrahydro[1]benzothieno[3,2-e][1,2,4]triazolo[1,5-c]pyrimidine and 3-methyl-9,10,11,12-tetrahydro-2H-[1]benzothieno[2′,3′:4,5]pyrimido[1,6-b][1,2,4]triazin-2-one. Moreover t…

Pyrimidinetetrahydrobenzothienopyrimidine derivativesHirshfeld surfaceOrganic ChemistryIntermolecular forceAromaticityCrystal structureRing (chemistry)DFT calculationsAnalytical ChemistryInorganic ChemistryCrystalchemistry.chemical_compoundcrystal structuresHOMA indexchemistryComputational chemistryThiopheneMoleculeSpectroscopyJournal of Molecular Structure
researchProduct

Statistical guidelines for quality control of next-generation sequencing techniques.

2021

Condition-specific statistical guidelines and accurate classification trees for quality control of functional genomics NGS files (RNA-seq, ChIP-seq and DNase-seq) have been generated using thousands of reference files from the ENCODE project and made available to the community.

Quality ControlComputer scienceHealth Toxicology and Mutagenesismedia_common.quotation_subjectControl (management)genetic processes26Plant ScienceBiochemistry Genetics and Molecular Biology (miscellaneous)HumansQuality (business)Statistical analysisRelevance (information retrieval)natural sciencesResearch Articlesmedia_commonEcologyScope (project management)Genome HumanComputational BiologyHigh-Throughput Nucleotide Sequencing15Sequence Analysis DNA11Data scienceComputingMethodologies_PATTERNRECOGNITIONTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSoftwareResearch ArticleLife science alliance
researchProduct

Terapia Cognitiva Basada en Mindfullness en Pacientes Oncológicos Españoles: el Protocolo Bartley

2020

Objectives: The aim of this study is to analyse whether MBCT will reduce the general level of psychopathology, increase the quality of life, and increase meta-knowledge about their emotional state in Spanish participants with cancer. Method: The sample consisted of n = 88 Spanish oncology patients. This was a non-randomized, two-group (experimental vs waiting list) trial conducted in a naturalistic setting. We evaluated psychological distress (BSI-18), quality of life (FACT-G), and meta-knowledge of emotions (TMMS-24). Results: The participants who received the MBCT treatment improved more than the control group in distress (F= 6.79; p = .01, BSI-18), depression (F= 8.38; p = .005 ), qualit…

Quality of lifeCalidad de vidaCáncerMindfulnessCancer3201.05 Psicología Clínica
researchProduct

Impact of exercise interventions on physical fitness in breast cancer patients and survivors: a systematic review

2022

Abstract Background This systematic review aims to identify the effects of exercise interventions in patients with breast cancer (BCP) and survivors (BCS) on selected variables of physical fitness. Methods A comprehensive literature search was conducted using Medline and Scopus. Randomized controlled trials with isolated exercise interventions in BCP and BCS women (&lt; 5 years from therapy completion) were included. The risk of bias (RoB) assessment was conducted using the Cochrane RoB-2-tool. Variables regarding cardiorespiratory fitness (CRF), strength (ST), fatigue (F) and health-related quality of life (HRQoL) were discussed. Results Of the 336 studies initially identified, 22 met all …

Quality of lifeCancer och onkologiBreast neoplasmPhysical activityBreast NeoplasmsResistance TrainingGeneral MedicineExercise TherapyOncologyPhysical FitnessCancer and OncologyHumansPharmacology (medical)Radiology Nuclear Medicine and imagingFemaleSurvivorsStrengthExerciseSettore M-EDF/01 - Metodi E Didattiche Delle Attivita' MotorieFatigue
researchProduct