[PDF] Top 20 Characterizations of Classes of Harmonic Convex Functions and Applications
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Characterizations of Classes of Harmonic Convex Functions and Applications
... is convex and nondecreasing function, then f is a harmonically convex ...harmonically convex and nonincreasing function, then f is convex ...harmonically convex and nondecreasing ... See full document
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Some properties of harmonic convex and harmonic quasi-convex functions
... of convex sets and functions. Several new classes of convex sets and convex functions have been introduced and investigated, which make this area of research very attractive and ... See full document
6
Some Properties of Generalized Strongly Harmonic Convex Functions
... some characterizations of sub-b-s-convex functions, Filomat, 30(14)(2016), ...Persson, Convex Functions and Their Applications, Springer-Verlag, New York, ...Noor, ... See full document
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Some Characterizations of Harmonic Convex Functions
... the harmonic convex functions have some nice properties [2], which convex functions ...of harmonic convex ...differentiable harmonic convex and ... See full document
9
Generalized (h,r)-Harmonic Convex Functions and Inequalities
... r)-harmonic convex functions with respect to an arbitrary nonnegative function h and r ≥ ...new classes of harmonic r-convex functions functions as special ... See full document
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ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS
... In 1985, Silvia[11] studied the partial sums of convex functions of order α. Later, Silverman [10], Abubaker and Darus[1], Dixit and Porwal[3], Frasin[4, 5], Raina and Bansal[8], Rosy et al.[9] and Porwal ... See full document
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RETRACTED ARTICLE: A sharp Trudinger type inequality for harmonic functions and its applications
... for harmonic functions based on the Cauchy-Riesz kernel function, which includes modified Poisson type kernel in a half plane considered by Xu et ...As applications, we not only obtain Morrey ... See full document
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HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... of functions in the open unit disc D that are normalized with h(0) = h ′ (0) − 1 = 0, then a function h(z) ∈ A is called convex on starlike if it maps D into a convex or starlike region, ... See full document
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On a new class of convex functions and integral inequalities
... The aim of this paper is to introduce a new extension of convexity called σ -convexity. We show that the class of σ -convex functions includes several other classes of convex functions. ... See full document
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A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions
... For a compact family, the maximum or minimum of the real part of any continuous linear functional occurs at one of the extreme points of the closed convex hull. Un- like many other classes, characterized by ... See full document
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NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR
... monic functions which are defined by fractional ...for functions related to the classes newly ...these classes are ...points, convex combination, distortion ... See full document
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INEQUALITIES VIA STRONGLY (p; h)-HARMONIC CONVEX FUNCTIONS
... of harmonic convex functions with respect to an arbitrary non-negative function, which is called strongly (p, h)-harmonic convex ...new classes of convex ... See full document
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On a Subclass of Harmonic Convex Functions of Complex Order
... classes and its properties. Since then, there have been several studies related to the class S H and its subclasses. Following Clunie and Sheil-Small 1 , Frasin 2 , Jahangiri et al. 3–6 , Silverman 7 , Silverman ... See full document
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Hermite Hadamard Type Inequalities for Increasing Positively Homogeneous Functions
... their applications have attracted con- siderable interest, as shown in the book [1], for ...various classes of functions such as convex functions [1], quasiconvex func- tions [2–4], ... See full document
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Certain convex harmonic functions
... for functions to be in ᏴᏯᐂ (k,α) and show that these bounds are also necessary for functions in ᏴᏯᐂ ...the classes k- ᐁᏯᐂ and ᏴᏯᐂ (k,α) is ex- ... See full document
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Classes of convex functions
... coefficient characterizations found in [9] also show that f of the form ...is convex f ∈ TUCD(1), and is convex of order 1/2 f ∈ ...uniformly convex f ∈ ... See full document
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Generalized classes of starlike and convex functions of order α
... Subordination, fractional derivative, fractional integral, generalized Libera operator.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ... See full document
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7. New Classes of p-Valent Harmonic Functions
... p-valent harmonic functions in the unit disc and obtain the basic properties such as coefficient bound, distortion properties, extreme points and also we apply in- tegral operator for the ... See full document
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Hermite–Hadamard 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 Hermite–Hadamard type inequalities for exponentially ... See full document
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Certain Classes of Harmonic Multivalent Functions Based on Hadamard Product
... A continuous function f uiv is a complex-valued harmonic function in a complex domain C if both u and v are real harmonic in C. In any simply connected domain D ⊆ C, we can write f h g, where h and g are ... See full document
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