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Abstract Our aim in this article is to show that under some conditions, a sequence { f n } of polynomials in R [ x ] is bounded on [… Click to show full abstract
Abstract Our aim in this article is to show that under some conditions, a sequence { f n } of polynomials in R [ x ] is bounded on [ a , b ] only if the sequence { deg ( f n ) } of their degrees is unbounded. As an application of this we will then prove that for some families of polynomial functions y = f ( x ) there exists a vertical strip containing no maxima points of the y = | f ( x ) | functions.
Keywords:
boundedness degree;
relation boundedness;
sequence polynomials;
boundedness;
sequence;
degree boundedness
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!