Sentence examples for statistically bounded from inspiring English sources

Also, in [15] Mohiuddine et al. introduced the concept of lacunary statistical convergence, lacunary statistically bounded and lacunary statistically Cauchy in the framework of locally solid Riesz spaces.

Proposition 2.4 Every statistical convergent sequence is statistically bounded.

Although a statistically convergent sequence does not need to be bounded, the following proposition shows that every statistical convergent sequence is statistically bounded.

Theorem 2.14 Every statistically bounded sequence has a statistical cluster point.

In 1997, a statistical analog of a very basic property of convergent sequences was given by Fridy and Orhan [30] by the formal introduction of the concept of statistical boundedness as follows: 'The real number sequence x is statistically bounded if there is a number B such that δ ( { k : | x k | > B } ) = 0 '.

In the last section, we introduce the concept of λ-statistical boundedness of order α and establish the condition for a statistically bounded sequence to be λ-statistically bounded of order α.

Our next step is to address the primary objective of evaluating model assumptions and statistically bounding our claims-based estimates of treatment effectiveness.

Every F̂-statistically convergent sequence is F̂-statistically bounded.

Theorem 4.5 Every λ-statistically convergent sequence is λ-statistically bounded.

Theorem 5.5 Every λ-statistically convergent sequence of order α is λ-statistically bounded of order α.

By [ S λ ( b ) ] α, we denote the linear space of all λ-statistically bounded sequences of order α.