On the Uniform Convergence and Boundedness of a Certain Class of Sine Series

By L. Leindler. 2001

105 citations recorded by the source corpus.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/598a3b50bedb57c2191ab9a1dc9bafae8a147fc0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. E. Liflyand
2. S. Tikhonov
3. R. Le
4. Song-Ping Zhou
5. A. Guven
6. Daniyal M. Israfilov

In Statistics and Probability

1. S. Tikhonov
2. R. Le
3. Song-Ping Zhou
4. E. Liflyand
5. A. Guven
6. Daniyal M. Israfilov

Citations in the corpus

• Ultimate generalization to monotonicity for uniform convergence of trigonometric series (2006, background): “The Chaundy-Jollif Theorem is again proved to be true in [8] if we replace the monotonic condition by the RBV condition.”
• On the degree of approximation of continuous functions (2004, methodology): “Some further applications of such type weakening of the monotonicity conditions can be uncovered e.g. in [ 4 ] and [5].”
• A new condition for the uniform convergence of certain trigonometric series (2005, background): “However, after deliberate investigation, we surprisingly see that a condition (2∗) (see the statement of Theorem 1 in the next section), a revision to condition (2) suggested by Leindler, is the right generalization.”
• A concept of general monotonicity and applications (2011, background): “The second way is to study the “rest of bounded variation” class (see [6]), written RBV S,”