n-Convex Functions in Linear Spaces.
Nearly Uniform Convergence And Interchange Of Limits
Nearly uniform convergence and interchange of limits.
Necessary and sufficient conditions for generalized convexity
We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.
Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means.
Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives.
Necessary conditions for the Fourier coefficients of periodic functions to belong to B(p, k, )-classes of Besov type.
Nederivovatelné funkce
Nejjednodušší lineární kontinuum
New approach to the fractional derivatives.
New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces
Let be a holomorphic function and a holomorphic self-map of the open unit disk in the complex plane. We provide new characterizations for the boundedness of the weighted composition operators from Zygmund type spaces to Bloch type spaces in in terms of , , their derivatives, and , the -th power of . Moreover, we obtain some similar estimates for the essential norms of the operators , from which sufficient and necessary conditions of compactness of follows immediately.
New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
New classification of analytic functions with negative coefficients.
New existence and stability results for partial fractional differential inclusions with multiple delay
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
New types of continuities.
Nonabsolutely convergent series
Assume that for any from an interval a real number is given. Summarizing all these numbers is no problem in case of an absolutely convergent series . The paper gives a rule how to summarize a series of this type which is not absolutely convergent, using a theory of generalized Perron (or Kurzweil) integral.
Non-Baire unions in category bases.
Non-differentiability of Feynman paths
A well-known mathematical property of the particle paths of Brownian motion is that such paths are, with probability one, everywhere continuous and nowhere differentiable. R. Feynman (1965) and elsewhere asserted without proof that an analogous property holds for the sample paths (or possible paths) of a non-relativistic quantum mechanical particle to which a conservative force is applied. Using the non-absolute integration theory of Kurzweil and Henstock, this article provides an introductory proof...
Nondifferentiable functions, Haar null sets and Wiener measure
Nonexistence Results of Solutions of Semilinear Differential Inequalities with Temperal Fractional Derivative on the Heinsenberg Group
2000 Mathematics Subject Classification: 26A33, 33C60, 44A15, 35K55Denoting by Dα0|t the time-fractional derivative of order α (α ∈ (0, 1)) in the sense of Caputo, and by ∆H the Laplacian operator on the (2N + 1) - dimensional Heisenberg group H^N, we prove some nonexistence results for solutions to problems of the type Dα0|tu − ∆H(au) >= |u|^p, Dα0|tu − ∆H(au) >= |v|^p, Dδ0|tv − ∆H(bv) >= |u|^q, in H^N × R+ , with a, b ∈ L ∞ (H^N × R+). For α = 1 (and δ = 1 in the case of two inequalities),...