Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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On total functional stability with two measures
Get PDFA concept of total functional stability in terms of two different measuresis given. The theoretical results are obtained by mean of an extension of Liapunov\u27sdirect method
On Boolean algebras which have the Vitali-Hahn-Saks property
No full textGiven a boolean algebra A, we say when A verifies the Drewnowski condition. In thepaper we prove that if a boolean algebra verifies the Drewnowski condition then A has the Vitali-Hahn-Saks property. Also other related questions are investigated
Common blocks for ASQS(12)
Get PDFAn ASQS(v) is a particular Steiner system featuring a set of v vertices and two separate families of blocks, B and G, whose elements have a respective cardinality of 4 and 6. It has the property that any three vertices of X belong either to a B-block or to a G-block. The parameter cb is the number of common blocks in two separate ASQSs, both defined on the same set of vertices X . In this paper it is shown that cb ≤ 29 for any pair of ASQSs(12)
Functional relations involving generalized H-function
Get PDFA number of papers have appeared in literature in which certain functional relations associated with hypergeometric functions and Digamma function ψ(z) are derived. In order to unify and extend the existing results due to Kalla [7]. Kalla and Ross [9], Al-Saqabi and Kalla [1], Nishimoto and Saxena [12], Srivastava and Nishimoto [17] and Pandey and Srivastava [14] etc., the author establishes two functional relations between ψ(z) and generalized H -function due to Inayat-Hussain [6]. The results obtained are of general character and provide extension and unification of functional relations of various hypergeometric functions available in literature. Existence conditionsand computable representation of the H -function are also investigated
Some extremal properties of generalized Tchebychev polynomials
Get PDF In this note we prove several extremal properties of the Generalized Tchebychev Polynomials
A note on the Faber-Krahn inequality
Get PDFIn this work we study the well known Faber-Krahn inequality for planar domains. Let u>0 be the first eigenfunction of the Laplacian on a bounded domain and λ_1 be the first eigenvalue. Let λ^∗_1 be the first eigenvalue for the symmetrized domain. We prove that a certain weighted L^1 integral of the isoperimetric deficiencies of the level sets of u may be bounded by the quantity λ_1 − λ^∗_1 . This leads to a sharper version of the Faber-Krahn inequality. It can be easily shown that this result also holds for more general divergence type equations