Convex Functions
5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator
... close-to-convex functions and š-uniformly quasi-convex functions are deļ¬ned here by using the Dziok- Srivastava ...for functions belonging to each of these classes of š-uniformly ...
15
Some properties of harmonic convex and harmonic quasi-convex functions
... To the best of my knowledge, this field is new one and has not been developed as yet. In this paper, we show that harmonic convex and harmonic quasi convex functions have some nice properties [2]. We ...
6
Subclasses of close to convex functions
... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ...
10
A note on geometrically convex functions
... It was ļ¬rst discovered by Hermite in ļļļļ in the Journal Mathesis (see [ļ]). Inequality (ļ.ļ) was nowhere mentioned in the mathematical literature until ļļļļ». Beckenbach, a leading expert on the theory of convex ...
12
Half convex functions
... A general overview of convexity, convex functions, and applications can be found in [ļ], and many details of this branch are in [ļŗ]. The diļ¬erent forms of the famous Jensenās inequality (discrete form in ...
10
Properties of certain p valently convex functions
... A subclass įÆ p (Ī», Āµ) (p ā N , 0 < Ī» < 1, ā Ī» Āµ < 1) of p-valently convex functions in the open unit disk U is introduced. The object of the present paper is to discuss some interesting properties ...
6
A note on convex functions
... between convex functions and strictly convex ...quasi-convex functions, strongly quasi-convex functions, and strictly quasi-convex functions are investigated ...
10
\((h m)\) convex functions and associated fractional Hadamard and FejĆ©rāHadamard inequalities via an extended generalized Mittag Leffler function
... Fractional integral inequalities are useful in establishing the uniqueness of solutions of fractional diļ¬erential equations. A lot of work dedicated to fractional calculus reļ¬ects its importance in almost all ļ¬elds of ...
10
HermiteāHadamard type inequalities for exponentially p convex functions and exponentially s convex functions in the second sense with applications
... In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several HermiteāHadamard type inequalities for exponentially ...
17
Convex combinations, barycenters and convex functions
... In this section, we show the connection between the convex combinations and the convex functions. The basic form of Jensenās inequality is obtained using the assumption of the equality of ...
13
On Quasi Convex Functions and Hadamard's Inequality
... In this paper we establish some inequalities of Hadamardās type involving Godunova-Levin functions, P-functions, quasi-convex functions, J- quasi-convex functions, Wright-convex function[r] ...
12
On uniformly close to convex functions and uniformly quasiconvex functions
... Let Q denote the class of quasiconvex functions deļ¬ned in ā. It was shown that Q āŗ K, where āŗ denotes subordination, so that every quasiconvex function is close to convex. Goodman [2, 3] introduced the ...
6
A note on generalized convex functions
... not convex, prove that every Ī·-convex function deļ¬ned on rectangle is coordinate Ī·-convex but not vice versa, deļ¬ne the coordinate (Ī· 1 , Ī· 2 ...
10
On Certain Classes of Convex Functions
... analytic functions which satisfy the following two sided-inequality: š¼ < R{1 + (š§š óø óø (š§)/š óø (š§))} < š½ (š§ ā U), where U denotes the open unit ...involving functions in the class K(š¼, ...for ...
7
Subclasses of univalent functions subordinate to convex functions
... and SRIVASTAVA, H.M., Analytic solutions of a class of Briot-Bouquet differential equations, in Current Topics m Analyttc Function Theory H.M Srivastava and S Owa, Editors, 252-259, Worl[r] ...
5
The Fekete Szegƶ inequality for close to convex functions with respect to a certain starlike function dependent on a real parameter
... Such functions h, clearly univalent as close-to-convex, and domains h(D) are called convex in the positive (negative) direction of the real axis and are related to functions convex in ...
16
Subordination by convex functions
... Abstract. Let K(Ī±), 0 ā¤ Ī± < 1, denote the class of functions g(z) = z + ā n=2 a n z n which are regular and univalently convex of order Ī± in the unit disc U. Pursuing the problem initiated by Robinson in ...
6
Subordination by convex functions
... Attiya, Some subordination results associated with certain subclasses of analytic functions, Journal of Inequalities in Pure and Applied Mathematics 5 2004, no.. Wilf, Subordinating fact[r] ...
6
Convex functions
... First Set of criteria for convexity.. LISTGFHGURES Figure 1... To show that f is convex, we have to verify that the following inequality holds.. i displays a geometric interpTetatio[r] ...
30
Classes of convex functions
... Remark 4.3. The coeļ¬cient characterizations found in [9] also show that f of the form (4.1) is starlike f ā TUCD(0), is convex f ā TUCD(1), and is convex of order 1/2 f ā TUCD(2). A function f of the form ...
7