Some Particular Norm in the Sobolev Space $$H^{1}[a,b]$$ H 1 [ a , b ]

Some equivalence classes of operators on B(H)

Minimum Sobolev norm interpolation of derivative data

We study the problem of reconstructing a function on a manifold satisfying some mild conditions, given data on the values and some derivatives of the function at arbitrary points on the manifold. While the problem of finding a polynomial of two variables with total degree ≤ n given the values of the polynomial and some of its derivatives at exactly the same number of points as the dimension of ...

Comparison of H-Logical Norm with some t-Norms

The paper presents the comparison of fuzzy conclusions derived from the use of t-norms with the fuzzy conclusions derived from the use of H-norm. The idea was to examine the application of H-logical norm to fuzzy reasoning, which is not monotonious while it is known that t-norms used in fuzzy reasoning have the characteristic of monotonicity. The comparison of fuzzy conclusions was performed by...

A new sequence space and norm of certain matrix operators on this space

In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...

Minimum Sobolev norm interpolation with trigonometric polynomials on the torus

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