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Inequalities via convex functions
Published 1999-01-01Subjects: “…Convex functions…”
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Exponential Convex Functions with Respect to $s$
Published 2024-03-01Subjects: “…convex function…”
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Subclasses of close-to-convex functions
Published 1983-01-01“…We investigate the subclasses of close-to-convex functions f(z), f(0)=f′(0)−1=0, for which there exists g ϵ 𝒦[C,D] such that f′/g′ is subordinate to (1+Az)/(1+Bz), −1≤B<A≤1. …”
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Generalized s-Convex Functions on Fractal Sets
Published 2014-01-01“…We introduce two kinds of generalized s-convex functions on real linear fractal sets Rα (0<α<1). …”
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On α-convex functions of order β
Published 1997-01-01Subjects: “…α-convex function…”
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A note on h-convex functions
Published 2019-12-01Subjects: “…h-convex function…”
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On quasi-convex functions and related topics
Published 1987-01-01“…Let C, S* and K be the classes of convex, starlike and close-to-convex functions respectively. The class C* of quasi-convex functions is defined as follows:…”
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Inequalities for Convex Functions on Simplexes and Their Cones
Published 2014-01-01“…The aim of this paper is to present the fundamental inequalities for convex functions on Euclidean spaces. The work is based on the geometry of the simplest convex sets and properties of convex functions. …”
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On the definition of a close-to-convex function
Published 1978-01-01Subjects: “…convex functions…”
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The radius of starlikeness for convex functions of complex order
Published 2004-01-01“…We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order. As a corollary of this relation, we obtain the radius of starlikeness for the class of Janowski convex functions of complex order.…”
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Properties of certain p-valently convex functions
Published 2003-01-01“…A subclass 𝒞p(λ,μ)(p∈ℕ, 0<λ<1, −λ≦μ<1) of p-valently convex functions in the open unit disk 𝕌 is introduced. …”
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Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness
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New Inequalities for Strongly r-Convex Functions
Published 2019-01-01“…In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. …”
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Integral Inequalities Involving Strongly Convex Functions
Published 2018-01-01“…We study the notions of strongly convex function as well as F-strongly convex function. …”
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Subclasses of univalent functions subordinate to convex functions
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On the strongly starlikeness of multivalently convex functions of order α
Published 2001-01-01“…The object of the present paper is to derive some sufficient conditions for strongly starlikeness of multivalently convex functions of order α in the open unit disc.…”
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On boundedly-convex functions on pseudo-topological vector spaces
Published 2000-01-01“…Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces. …”
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