Results 21 to 30 of about 390 (251)
Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means [PDF]
International Journal of Analysis and Applications, 2017 In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex ...
M. A. Latif, S. S. Dragomir, E. Momoniat
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On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals. [PDF]
Springerplus, 2016 Gozutok, Ugur/0000-0002-6072-3134; Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591WOS: 000376453700006PubMed: 27330901In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional ...
Kunt M +3 more
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Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions [PDF]
Journal of Mathematics, 2014 A new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like types for functions whose derivatives in absolute ...
İmdat İşcan
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Convexity In Multivalued Harmonic Functions
Real Analysis Exchange, 2022 16 pages. Real Analysis Exchange. Vol. 47(2) 2022 pp.
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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
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Some New Estimates of Hermite-Hadamard Inequalities for Harmonically Convex Functions with Applications [PDF]
International Journal of Analysis and Applications, 2017 In this paper, we first establish an integral identity. Further, using this identity, some new estimates for Hermite-Hadamard inequalities for harmonically convex functions are established. Finally, some applications to special mean are showed.
Wen Wang, Jibing Qi
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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
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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
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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
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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
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