[PDF] Top 20 Classes of convex functions
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Classes of convex functions
... Remark 4.3. The coefficient characterizations found in [9] also show that f of the form (4.1) is starlike f ∈ TUCD(0), is convex f ∈ TUCD(1), and is convex of order 1/2 f ∈ TUCD(2). A function f of the form ... See full document
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5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator
... interesting classes of 𝑘-uniformly close-to-convex functions and 𝑘-uniformly quasi-convex functions are defined here by using the Dziok- Srivastava ...for functions belonging to ... See full document
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Some classes of alpha quasi convex functions
... SOME CLASSES OF ALPHA-QUASI-CONVEX FUNCTIONS KHALIDA INAYAT NOOR Mathematics Department College of Science Education for Girls, Sitteen Road, Malaz, Riyadh, Saudi Arabia.... analytic in [r] ... See full document
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On Certain Classes of Convex Functions
... for functions in bounded positive class K(𝛼, ...for functions in the ...inverse functions and bi- univalent ...of functions in special subclasses of S, the readers may be referred to the works ... See full document
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Some Integral Inequalities Using Quantum Calculus Approach
... h-convex functions which not only generalizes the class of clas- sical convex function but also generalizes several other classes of convex functions, such as Breckner type of ... See full document
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On certain classes of close to convex functions
... We note that Theorem 3.3 shows that the family K n is invariant under the following integral operators... The author would like to thank the referee whose comments influenced the final v[r] ... See full document
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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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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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On the multivalency of certain analytic functions
... strongly convex functions of order α, ...strongly convex functions of order α was introduced in [] and [] with their geometric ...the classes S α ∗ and C ∗ α become the classes ... See full document
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Hermite Hadamard Type Inequalities for Increasing Positively Homogeneous Functions
... various classes of functions such as convex functions [1], quasiconvex func- tions [2–4], p-functions [3, 5], Godnova-Levin type functions [5], r-convex functions ... See full document
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Convolution Properties of Classes of Analytic and Meromorphic Functions
... where g is a fixed function and h is a suitably normalized function with positive real part. In particular, let S ∗ h : S ∗ z/1 − z, h and Kh : S ∗ z/1 − z 2 , h. For hz 1 1 − 2αz/1 − z, 0 ≤ α < 1, S ∗ h and Kh are, ... See full document
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On the characterization of D preinvex functions
... wider classes of generalized convex functions and also to seek prac- tical criteria for convexity or generalized convexity (see ...of convex functions is the introduction of preinvex ... See full document
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Generalized (ℱ,b,φ,ρ,θ) univex n set functions and global semiparametric sufficient efficiency conditions in multiobjective fractional subset programming
... generalized convex n-set functions, called (Ᏺ,b,φ,ρ, θ)-univex functions, which will be defined later in this ...of functions may be viewed as a combination of several previously defined types ... See full document
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Generalization Bounds and Complexities Based on Sparsity and Clustering for Convex Combinations of Functions from Random Classes
... of functions from a convex hull of random class of functions (random convex hull), that is, the class of learners is no longer fixed and depends on the ...random classes, that is, a ... See full document
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The Fekete Szegö 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 ... See full document
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Half convex functions
... Remark . The formula in equation (.) for the case x < c in the proof of Lemma . can be derived with exactly calculated convex combination coefficients. If d = px + qy, then we have the order x < c ≤ d ... See full document
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Subordination by convex functions
... Abstract. Let K(α), 0 ≤ α < 1, denote the class of functions g(z) = z + ∞ n=2 a n z n which are regular and univalently convex of order α in the unit disc U. Pursuing the problem initiated by Robinson in ... See full document
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Starlike and Convex Properties for Hypergeometric Functions
... Silverman 7 gave necessary and sufficient conditions for zFa, b; c; z to be in T ∗ α and Cα, and also examined a linear operator acting on hypergeometric functions. For the other interesting developments for zFa, b; ... See full document
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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] ... See full document
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A class of analytic functions based on an extension of generalized Salagean operator
... of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated functions in the classes T ∗ (α ) = T ∩ S ∗ (α ) and C(α ) = ... See full document
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