Matrix functions: Taylor expansion, sensitivity and error analysis
Matrix versions of the Cauchy and Kantorovich inequalities.
Matrix-Variate Statistical Distributions and Fractional Calculus
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established. When considering solutions of fractional...
Maximal additive and maximal multiplicative family for the family of -Darboux Baire one functions
Maximal distributional chaos of weighted shift operators on Köthe sequence spaces
During the last ten some years, many research works were devoted to the chaotic behavior of the weighted shift operator on the Köthe sequence space. In this note, a sufficient condition ensuring that the weighted shift operator defined on the Köthe sequence space exhibits distributional -chaos for any and any is obtained. Under this assumption, the principal measure of is equal to 1. In particular, every Devaney chaotic shift operator exhibits distributional -chaos for any .
Maximal monotone relations and the second derivatives of nonsmooth functions
Maximal scrambled sets for simple chaotic functions.
This paper is a continuation of [1], where a explicit description of the scrambled sets of weakly unimodal functions of type 2∞ was given. Its aim is to show that, for an appropriate non-trivial subset of the above family of functions, this description can be made in a much more effective and informative way.
Maximization for inner products under quasi-monotone constraints.
Maximums of Darboux Baire one functions
Maximums of Darboux quasi-continuous functions
Maximums of strong Świątkowski functions
Maxis smoothing operators and some Orlicz classes
Max-min representation of piecewise linear functions.
McShane equi-integrability and Vitali’s convergence theorem
The McShane integral of functions defined on an -dimensional interval is considered in the paper. This integral is known to be equivalent to the Lebesgue integral for which the Vitali convergence theorem holds. For McShane integrable sequences of functions a convergence theorem based on the concept of equi-integrability is proved and it is shown that this theorem is equivalent to the Vitali convergence theorem.
Mean number of real zeros of a random hyperbolic polynomial.
Mean value theorem for convex functionals
Mean value theorems for divided differences and approximate Peano derivatives
Several mean value theorems for higher order divided differences and approximate Peano derivatives are proved.
Mean value theorems for some linear integral operators.
Mean Value Theorems in q-calculus