Generalization of certain subclasses of analytic functions
We introduce the subclass Tj(n, m, α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n, m, α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n, m, α) are obtained.
Tadayuki Sekine
wiley +1 more source
A simultaneous solution to two problems on derivatives
Let A be a nonvoid countable subset of the unit interval [0, 1] and let B be an Fσ‐subset of [0, 1] disjoint from A. Then there exists a derivative f on [0, 1] such that 0 ≤ f ≤ 1, f = 0 on A, f > 0 on B, and such that the extended real valued function 1/f is also a derivative.
F. S. Cater
wiley +1 more source
Two large subsets of a functional space
Let P1 denote the Banach space composed of all bounded derivatives f of everywhere differentiable functions on [0, 1] such that the set of points where f vanishes is dense in [0, 1]. Let D0 consist of those functions in P that are unsigned on every interval, and let D1 consist of those functions in P1 that vanish on dense subsets of measure zero.
F. S. Cater
wiley +1 more source
Generalized classes of starlike and convex functions of order α
We have introduced, in this paper, the generalized classes of starlike and convex functions of order α by using the fractional calculus. We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes.
Shigeyoshi Owa, C. Y. Shen
wiley +1 more source
Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu +5 more
doaj +1 more source
On singular nonlinear distributional and impulsive initial and boundary value problems
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj
Comparison of Effects of an Endotracheal Tube or Facemask on Breathing Pattern and Distribution of Ventilation in Anesthetized Horses. [PDF]
Moreno-Martinez F +5 more
europepmc +1 more source
Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure. [PDF]
Mikić R, Pečarić J, Rodić M.
europepmc +1 more source
Neopetrocyclamines A and B, polycyclic diamine alkaloids from the sponge Neopetrosia cf exigua. [PDF]
Liang Z +5 more
europepmc +1 more source
Oscillation of second-order linear delay differential equations
Ohriska Ján
doaj +1 more source

