An extension and a refinement of van der Corput's inequality.
An extension of a theorem of Marcinkiewicz and Zygmund on differentiability
Let f be a measurable function such that at each point x of a set E, where k is a positive integer, λ > 0 and is the symmetric difference of f at x of order k. Marcinkiewicz and Zygmund [5] proved that if λ = k and if E is measurable then the Peano derivative exists a.e. on E. Here we prove that if λ > k-1 then the Peano derivative exists a.e. on E and that the result is false if λ = k-1; it is further proved that if λ is any positive integer and if the approximate Peano derivative...
An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
An extension of Chebyshev's inequality and its connection with Jensen's inequality.
An extension of results of A. McD. Mercer and I. Gavrea.
An extension of Stolarsky means.
An extension of the inverse function theorem.
An extension of the Riemann-Lebesgue lemma and some applications.
An extension to the Owa-Srivastava fractional operator with applications to parabolic starlike and uniformly convex functions.
An imbedding theorem for H°(G,Ω)-spaces
An inconsistency equation involving means
We show that any quasi-arithmetic mean and any non-quasi-arithmetic mean M (reasonably regular) are inconsistent in the sense that the only solutions f of both equations and are the constant ones.
An inequality for m-convex sequences
An inequality for the Lebesgue measure and its further applications
An infinite-dimensional subspace of consisting of functions with no finite one-sided derivatives.
An integral defined by approximating partitions of unity
An Integral in Topological Spaces II.
An Interpretation Of Some Aspects Of Karamata's Theory Of Regular Variation
An interpretation of some aspects of Karamata's theory of regular variation.
An inverse of the Faà di Bruno formula.
An o-minimal structure which does not admit cellular decomposition
We present an example of an o-minimal structure which does not admit cellular decomposition. To this end, we construct a function whose germ at the origin admits a representative for each integer , but no representative. A number theoretic condition on the coefficients of the Taylor series of then insures the quasianalyticity of some differential algebras induced by . The o-minimality of the structure generated by is deduced from this quasianalyticity property.