-valued maps minimizing the norm of the gradient with free discontinuities
S. N. Bernstein type estimations in the mean on the curves in a complex plane.
Safe convergence of Chebyshev-like method.
Safe convergence of Tanabe's method.
Sätze des Khintchine Typus für Mengenfunktionen
Schauder bases in an abstract setting.
Schur convexity of generalized Heronian means involving two parameters.
Schur geometric convexity for differences of means.
Schur multiplier characterization of a class of infinite matrices
Let denote the space of infinite matrices for which for all with . We characterize the upper triangular positive matrices from , , by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.
Schur-convexity for a class of symmetric functions and its applications.
Schur-convexity of averages of convex functions.
Schur-convexity of the complete elementary symmetric function.
Schur-convexity of two types of one-parameter mean values in variables.
Schur-type inequalities for complex polynomials with no zeros in the unit disk.
Second order differentiability and Lipschitz smooth points of convex functionals
Second order linear -difference equations: nonoscillation and asymptotics
The paper can be understood as a completion of the -Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear -difference equations. The -Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice with . In addition to recalling the existing concepts of -regular variation and -rapid variation we introduce -regularly bounded functions and prove many related properties. The -Karamata theory is then...
Second-order sufficient condition for -stable functions
The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Segments of Exponential Series and Regularly Varying Sequences
Selection theorem in L¹
Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Self-adjoint differential equations and generalized Karamata functions