[PDF] Top 20 On convex functions of order α and type β
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On convex functions of order α and type β
... Subordination, Hadamard product, convex functions of order and type 8.. 1980 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document
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Further Properties of β Pascu Convex Functions of Order α
... > α (β ≥ 0, 0 ≤ α < 1). (1.2) We denote by ᐀ᏼᏯ(p, m,α,β) the subclass of ᐀(p,m) consisting of β-Pascu convex func- tion of order ...2, α, 0) is the ... See full document
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Criteria for starlike and convex functions of order α
... Correspondence: [email protected] Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China Full list of author information is available at the end of th[r] ... 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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New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
... Now, we give definition of conformable fractional derivative with its important properties which are useful in order to obtain our main results (see [1–7,18]). In our study, we use the Katugampola derivative ... See full document
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Starlike Functions of order $\alpha$ With Respect To $2(j,k)$-Symmetric Conjugate Points
... and convex functions of order α with respect to 2(j, k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are ...for functions belonging to ... See full document
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On a Subclass of Multivalent -Uniformly Starlike and Convex Functions defined by a Linear Operator
... (α, β) and U CV (α, β) are the classes of β-uniformly starlike and β-uniformly convex functions of order α, (−1 ≤ α < ...and convex ... See full document
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On a class of p valent close to convex functions of order β and type α
... AOUF Department of Mathematics Faculty of Science Mansoura University Mansoura, Egypt Received October i0, 1986 and in revised form October 29, 1986... zf’z We note that.[r] ... See full document
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Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation
... Working with the divided differences, assumptions of differentiability on f can be weak- ened. In [4], Popoviciu noted that (2) is valid on (0, 2a) for 3-convex functions, while in [5] (see also [3, p. 32, ... See full document
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Generalized fractional integral inequalities of Hermite–Hadamard type for \({(\alpha,m)}\) convex functions
... Hermite–Hadamard type for ( α , m)-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical integral inequalities of the Hermite–Hadamard ... See full document
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The radius of starlikeness for convex functions of complex order
... Caratheodory functions, and therefore the class C(A, B, b) contains the following ...of convex functions [2], and C(1, − 1, b) = C(b) is the class of convex functions of com- plex ... See full document
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Some Inequalities of Hermite–Hadamard Type for a New Kind of Convex Functions on Coordinates
... |(t + ξ)(λ + µ)|(1 − t α )(1 − λ) s dt dλ = [(α + 1)(α + 2)g 1 (ξ, 0) − 2g 1 (ξ, α)]g 2 (µ, s) 2(α + 1)(α + 2)(s + 1)(s + 2) . Substituting these equalities into the above ... See full document
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Some Hermite Hadamard type inequalities for n time differentiable (α,m) convex functions
... In recent decades, plenty of inequalities of Hermite-Hadamard type for various kinds of convex functions have been established. Some of them may be reformulated as follows. Theorem . ([, Theorem ... See full document
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A generalizations of Simpson’s type inequality for differentiable functions using (α,m) convex functions and applications
... s-convex functions in second sense and some new results about Hadamard’s inequality for s-convex functions are discussed in [], while on the other hand there are many important inequalities ... See full document
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On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
... particular cases of the fundamental solution G α,β,n in terms of the Wright type functions. Discussion 325[r] ... See full document
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On α convex functions of order β with m fold symmetry
... In particular, we give the sharp order of convexity of s-convex functions of order 8 with m-fold symmetry for a I, which is analogous in sharpness to a result given by Miller, Mocanu and[r] ... See full document
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The class of functions convex in the negative direction of the imaginary axis of order (α,β)
... case α = β = 1 is well known and can be found in [5, 6, ...that α ≠ 1 or β ≠ 1. This means that A(α, β) is a closed convex sector which does not reduce to the half-line ... See full document
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A note on geometrically convex functions
... namely, convex analysis. Convex curves and convex bodies have appeared in mathematical literature since antiquity and there are many important results related to ... See full document
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On Quasi Convex Functions and Hadamard's Inequality
... In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, J- quasi-convex functions, Wright-convex function[r] ... See full document
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New refinements of the Hadamard inequality on coordinated convex function
... convex functions. In addition, Hadamard’s inequality for linear functions has been proved using the definition of ...In order to ascertain the validity of the new refine- ment inequalities, some ... See full document
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