Results 91 to 100 of about 183,031 (208)

On the order of strongly starlikeness of strongly convex functions

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1993
Let \(A\) denote the set of functions \(f(z)\) analytic in the unit disc \(E\) with \(f(0)=0\) and \(f'(0)=1\). P. T. Mocanu has proved that if \[ |\arg(1+ zf''(z)/f'(z)|< \pi\gamma/2\quad\text{for all }z\in E, \] then \(|\arg zf'(z)/f(z)|
openaire   +3 more sources

On generalization of integral inequalities for strongly Φ-convex functions using Riemann-Liouville operators

open access: yesBoundary Value Problems
This article introduces novel integral identities and results, with a particular focus on strongly Φ-convex functions and their associated inequalities. By leveraging Riemann-Liouville (RL) fractional integral operators, we first define strongly Φ-convex
Muhammad Sadaqat Talha   +3 more
doaj   +1 more source

GENERALIZED INEQUALITIES OF THE MERCER TYPE FOR STRONGLY CONVEX FUNCTIONS

open access: bronze, 2023
Fayaz Alam   +3 more
openalex   +1 more source

Inequalities via strongly (p, h)-harmonic convex functions

open access: yes, 2020
The main aim of this paper is to consider a new class of harmonic convex functions with respect to an arbitrary non-negative function, which is called strongly (p, h)-harmonic convex function. We establish Hermite-Hadamard like integral inequalities via these new classes of convex functions.
NOOR, M. A., NOOR, K. I., IFTİKHAR, S.
openaire   +2 more sources

Coefficients of strongly alpha-convex and alpha-logarithmicaly convex functions

open access: yesTamkang Journal of Mathematics, 2017
Let the function $f$ be analytic in $D=\{z:|z|<1\}$ and be  given by $f(z)=z+\sum_{n=2}^{\infty}a_{n}z^{n}$.  For $0< \beta \le 1$, denote by  $C (\beta)$ and $S^*(\beta)$ the classes of strongly  convex functions and strongly starlike functions respectively.
openaire   +2 more sources

On Riemann–Liouville Integral via Strongly Modified (h,m)-Convex Functions [PDF]

open access: gold
Ali N. A. Koam   +5 more
openalex   +1 more source

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