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Start Over Subject convex function

1. An application of the generalized Bessel function

Creator:
Darwish, Hanan, Lashin, Abdel Moneim, and Hassan, Bashar
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Bessel operator, starlike function, convex function, and close-to-convex function
Language:
English
Description:
We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Geometric properties of Wright function

Creator:
Maharana, Sudhananda, Prajapat, Jugal K., and Bansal, Deepak
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
analytic function, univalent function, starlike function, strongly starlike function, convex function, close-to-convex function, Wright function, Bessel function, and subordination of functions
Language:
English
Description:
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. On sets of non-differentiability of Lipschitz and convex functions

Creator:
Zajíček, Luděk
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Lipschitz function, convex function, Gˆateaux differentiability, Fréchet differentiability, Γ-null sets, ball small sets, δ-convex surfaces, and strong porosit
Language:
English
Description:
We observe that each set from the system A˜ (or even C˜) is Γ-null; consequently, the version of Rademacher’s theorem (on Gˆateaux differentiability of Lipschitz functions on separable Banach spaces) proved by D. Preiss and the author is stronger than that proved by D. Preiss and J. Lindenstrauss. Further, we show that the set of non-differentiability points of a convex function on n is σ-strongly lower porous. A discussion concerning sets of Fréchet non-differentiability points of continuous convex functions on a separable Hilbert space is also presented.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public