Modules of continuous functions

1974 ◽  
pp. 123-128 ◽  
Author(s):  
JoÃo B. Prolla
Keyword(s):  
Continuous Functions

Approximation in statistical sense to B -continuous functions by positive linear operators

2010 ◽  
Vol 47 (3) ◽  
pp. 289-298 ◽  
Author(s):  
Fadime Dirik ◽  
Oktay Duman ◽  
Kamil Demirci
Keyword(s):  
Compact Subset ◽  
Real Line ◽  
Statistical Convergence ◽  
Approximation Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Statistical Approximation ◽  
Classical Version ◽  
Statistical Sense

In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

Almost Somewhat Near Continuity and Near Regularity

2021 ◽  
Vol 7 (1) ◽  
pp. 88-99
Author(s):  
Zanyar A. Ameen
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
One To One ◽  
Nearly Continuous

AbstractThe notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied. At the end, it is shown that a one-to-one almost somewhat nearly continuous function f from a space X onto a space Y is somewhat nearly continuous if and only if the range of f is nearly regular.

Approximating Continuous Functions by Iterated Function Systems and Optimization

2002 ◽  
Author(s):  
Davide La Torre ◽  
Matteo Rocca
Keyword(s):  
Iterated Function Systems ◽  
Continuous Functions ◽  
Iterated Function

On existence result of a class of nonlinear integral equation

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3593-3597
Author(s):  
Ravindra Bisht
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Existence And Uniqueness ◽  
Existence Result ◽  
Nonlinear Integral Equation ◽  
Continuous Functions ◽  
Concave Functions ◽  
Real Numbers ◽  
Fixed Point Techniques ◽  
Uniqueness Of A Solution

Combining the approaches of functionals associated with h-concave functions and fixed point techniques, we study the existence and uniqueness of a solution for a class of nonlinear integral equation: x(t) = g1(t)-g2(t) + ? ?t,0 V1(t,s)h1(s,x(s))ds + ? ?T,0 V2(t,s)h2(s,x(s))ds; where C([0,T];R) denotes the space of all continuous functions on [0,T] equipped with the uniform metric and t?[0,T], ?,? are real numbers, g1, g2 ? C([0, T],R) and V1(t,s), V2(t,s), h1(t,s), h2(t,s) are continuous real-valued functions in [0,T]xR.

ON ε-CONTINUOUS FUNCTIONS

1995 ◽  
Vol 21 (1) ◽  
pp. 203
Author(s):  
Banaszewski
Keyword(s):  
Continuous Functions

ON THREADING CONTINUOUS FUNCTIONS THROUGH COMPACT SETS

1982 ◽  
Vol 8 (2) ◽  
pp. 455
Author(s):  
Akemann ◽  
Bruckner
Keyword(s):  
Continuous Functions ◽  
Compact Sets

I-density Continuous Functions

1989 ◽  
Vol 15 (1) ◽  
pp. 13
Author(s):  
Ciesielski ◽  
Larson ◽  
Ostaszewski
Keyword(s):  
Continuous Functions

ON THE MAXIMAL FAMILIES FOR THE CLASS OF STRONGLY QUASI–CONTINUOUS FUNCTIONS

1994 ◽  
Vol 20 (2) ◽  
pp. 631
Author(s):  
Grande
Keyword(s):  
Continuous Functions

ON LOCALLY SYMMETRIC AND SYMMETRICALLY CONTINUOUS FUNCTIONS

1980 ◽  
Vol 6 (1) ◽  
pp. 67 ◽  
Author(s):  
Kostyrko ◽  
Neubrunn ◽  
Smital ◽  
Šalát
Keyword(s):  
Continuous Functions ◽  
Symmetrically Continuous Functions

Semigroups of density-continuous functions

1988 ◽  
Vol 14 (1) ◽  
pp. 104 ◽  
Author(s):  
Ostaszewski
Keyword(s):  
Continuous Functions
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