Results 11 to 20 of about 196 (170)
Convexity In Multivalued Harmonic Functions
Real Analysis Exchange, 2022 16 pages. Real Analysis Exchange. Vol. 47(2) 2022 pp.
openaire +3 more sources
On a Subclass of Harmonic Convex Functions of Complex Order [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.
Nanjundan Magesh, S. Mayilvaganan
openaire +2 more sources
Close-to-Convexity of Convolutions of Classes of Harmonic Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 For j=1,2 and for positive integers m and n, we consider classes of harmonic functions fj=hj+gj¯, where g1(z)=znh1(z) and g2′(z)=znh2′(z) or g1′(z)=znh1′(z) and g2′(z)=zmh2′(z), and we prove that their convolution f1⁎f2=h1⁎h2+g1⁎g2¯ is locally one-to-one, sense-preserving, and close-to-convex harmonic in z<1.
Raj Kumar Garg, Jay M. Jahangiri
openaire +3 more sources
New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
Muhammad Uzair Awan +4 more
doaj +1 more source
Certain convex harmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim +2 more
openaire +2 more sources
Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging.
Jay M. Jahangiri, Raj Kumar Garg
openaire +2 more sources
Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Cumhuriyet Science Journal, 2022 In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
doaj +1 more source
On Fully-Convex Harmonic Functions and their Extension
Boletim da Sociedade Paranaense de Matemática, 2018 Uniformly convex univalent functions that introduced by Goodman, maps every circular arc contained in the open unit disk with center in it into a convex curve. On the other hand, a fully-convex harmonic function, maps each subdisk $|z|=r<1$ onto a convex curve. Here we synthesis these two ideas and introduce a family of univalent harmonic
Shahpour Nosrati, Ahmad Zireh
openaire +3 more sources
Hermite–Hadamard–Fejér type inequalities for p-convex functions
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
doaj +1 more source
International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
doaj +1 more source