Results 11 to 20 of about 43 (43)

Generalization of certain subclasses of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 725-732, 1987., 1986
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 517-519, 1986., 1986
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 189-191, 1985., 1985
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 455-467, 1985., 1985
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

open access: yesApplied Mathematics in Science and Engineering
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

open access: yesBoundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj  

Neopetrocyclamines A and B, polycyclic diamine alkaloids from the sponge Neopetrosia cf exigua. [PDF]

open access: yesJ Nat Prod, 2015
Liang Z   +5 more
europepmc   +1 more source

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