Difference properties of higher orders for continuity and Riemann integrability
Differences of Decreasing Slowly Varying Functions
Differences of two semiconvex functions on the real line
It is proved that real functions on which can be represented as the difference of two semiconvex functions with a general modulus (or of two lower -functions, or of two strongly paraconvex functions) coincide with semismooth functions on (i.e. those locally Lipschitz functions on for which and for each ). Further, for each modulus , we characterize the class of functions on which can be written as , where and are semiconvex with modulus (for some ) using a new notion of...
Different aspects of differentiability [Book]
Differentation along algebras.
Differentiability of Polynomials over Reals
In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
Differentiability points of a distance function
Differential analysis of matrix convex functions. II.
Differential estimate for -ary forms on closed orthants.
Differential inclusions and multivalued integrals
In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spaces x'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I. Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall and improve earlier papers of this type. The paper is complemented...
Differential sandwich theorems of -valent functions associated with a certain fractional derivative operator
Differential subordination for meromorphic multivalent quasi-convex functions.
Differential subordination results for new classes of the family .
Differentiation des Ausdrucks xk, wenn x eine Function irgend einer unabhängig Veränderlichen bedeutet
Differentiation of n-convex functions
The main result of this paper is that if f is n-convex on a measurable subset E of ℝ, then f is n-2 times differentiable, n-2 times Peano differentiable and the corresponding derivatives are equal, and except on a countable set. Moreover is approximately differentiable with approximate derivative equal to the nth approximate Peano derivative of f almost everywhere.
Differenziabilità delle funzioni convesse a valori in spazi di successioni
Dimension and Structure of Typical Compact Sets, Continua and Curves.
Directional qualitative cluster sets
Discontinuity points of exactly -to-one functions