Measurable majorants in L1

‏‎comprehension monitoring in l1&l2‎‏

هدف اصلی این تحقیق مقایسه و تمایز بین روشها و استراتژیهای خاص برای درک مطلب بهتر در زبان مادری و زبان دوم بوده است. در قدم اول میزان توانایی افراد در درک مطلب فارسی و انگلیسی اندازه گیری و سپس رده بندی شد. همچنین از دانش آموزان خواسته شد که در مورد روشها و استراتژیهایی که برای درک مطلب بهتر به کار برده بودند توضیح دهند. نتیجه این مرحله از تحقیق نشان داد که دانشجویان برای درک مطلب مطلوب در زبان ...

Kantorovich's majorants principle for Newton's method

We prove Kantorovich’s theorem on Newton’s method using a convergence analysis which makes clear, with respect to Newton’s Method, the relationship of the majorant function and the non-linear operator under consideration. This approach enable us to drop out the assumption of existence of a second root for the majorant function, still guaranteeing Q-quadratic convergence rate and to obtain a new...

Measurable Utility and the Measurable Choice Theorem

Harmonic and Superharmonic Majorants on the Disk

We prove that a positive function on the unit disk admits a harmonic majorant if and only if a certain explicit upper envelope of it admits a superharmonic majorant. We provide examples to show that mere superharmonicity of the data does not help with the problem of existence of a harmonic majorant. 1. Definitions and statements Let D stand for the open unit disk in the complex plane, and H(D) ...

Interpolation in the Nevanlinna Class and Harmonic Majorants

We consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants of certain functions. We also consider the related problem of characterizing positive functions in the disc having a harmonic majorant. An answer is given in terms of a dual relation which involves pos...