Inclusion relations between power methods of limitation

The Concept of Power in International Relations

The terms of Power, influence and authority could be heard in political world vastly, but using these terms is not leaving only to this realm. Despite its visual simplicity, generally there is not similar and equal perception about term of Power among people. Understanding about by politicians differs from lawyer perception about this term.  What people takes about Power, totally differ from wh...

On Relations between Weighted Mean and Power Series Methods of Summability

Lacunary Statistical Convergence and Inclusion Properties between Lacunary Methods

A lacunary sequence is an increasing integer sequence θ = {kr } such that kr − kr−1 → ∞ as r → ∞. A sequence x is called sθ-convergent to L provided that for each ε > 0, limr (1/(kr −kr−1)){the number of kr−1 < k ≤ kr : |xk−L| ≥ ε} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.

Mitschs Order and Inclusion for Binary Relations

Mitsch’s natural partial order on the semigroup of binary relations has a complex relationship with the compatible partial order of inclusion. This relationship is explored by means of a sublattice of the lattice of preorders on the semigroup. The natural partial order is also characterised by equations in the theory of relation algebras. 1. Natural partial orders Having formulated a characteri...

On Inclusion Relations for Absolute Summability

We obtain necessary and (different) sufficient conditions for a series summable | ¯ N, p n | k , 1 < k ≤ s < ∞, to imply that the series is summable |T | s , where (¯ N, p n) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems. Let a n be a given series with partial sums s n , (C, α) the Césaro matrix of order α. If σ...