[PDF] Top 20 A note on G preinvex functions
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A note on G preinvex functions
... G f y + λη(x, y) < λG f (x) + ( – λ)G f (y) () holds, then f is a semistrictly G-preinvex function on X with respect to the same η. Proof By Lemma (iii), it is sufficient to prove that ... See full document
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Hermite Hadamard inequality for functions whose derivatives absolute values are preinvex
... In this article, we generalize the results in [] for functions whose first derivatives abso- lute values are preinvex. Also some results for functions whose second derivatives absolute values are ... See full document
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A note on convex functions
... Abstract. In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space R n to be a convex function. We also present some results for convex functions, ... See full document
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Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications
... In [], Alomari et al. established Hermite-Hadamard-type inequalities for quasi-convex functions which give refinements of those given above in Theorem and Theorem . Theorem [] Let f : I ⊆ [, ∞) → R be a ... See full document
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Fractional Ostrowski Type Inequalities for Functions Whose First Derivatives Are s-Preinvex in the Second Sense
... convex functions, called invex ...of preinvex functions which is special case of invexity, and many authors have study their basic properties, and their role in optimization, variational inequalities ... See full document
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Integral inequalities of Hermite Hadamard type for functions whose derivatives are α preinvex
... In this article, we will introduce a new notion ‘α-preinvex function’, establish an inte- gral identity for such a kind of functions, and find some Hermite-Hadamard type integral inequalities for a function ... See full document
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Inequalities for the weighted mean of r-preinvex functions on an invex set
... holds for any u , v ∈ K , we say that the function f satisfies the Condition D, see [22]. We note that, if f satisfies the Condition D, f is also an r-preinvex function. In [6], applying the definition of ... See full document
10
Geodesic r preinvex functions on Riemannian manifolds
... Theorem . Let M be a Riemannian manifold and S be an open subset of M, which is a geodesic invex set with respect to η : M × M → TM. Let f : S → R be a differentiable function, η satisfies the condition (C), then f is ... See full document
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ON SOME FRACTIONAL INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR r-PREINVEX FUNCTIONS
... This double inequality (1.1) is known in the literature as Hermite–Hadamard in- tegral inequality for convex functions. Both inequalities hold in the reversed di- rection if f is concave.The inequality (1.1) has ... See full document
7
Some new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,\varphi)$-preinvex functions via Caputo $k$-fractional derivatives
... The aim of this paper is to establish some generalizations of Ostrowski type inequalities using new integral identity given in Section 2 for generalized (r; g, s, m, ϕ)-preinvex functions via Caputo ... See full document
16
Chebyshev type inequalities via generalized fractional conformable integrals
... weight functions are uti- lized in numerous mathematical problems such as approximation theory, spectral anal- ysis, statistical analysis, and the theory of statistical ...via preinvex functions, ... See full document
9
A note on Schur concave functions
... signomial functions which have applications in process synthesis, pro- cess design, molecular conformation, chemical ...Schur-convex functions where we emphasize the relevance of such type of ... See full document
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Extensions of different type parameterized inequalities for generalized \((m,h)\) preinvex mappings via k fractional integrals
... The authors discover a general k-fractional integral identity with multi-parameters for twice differentiable functions. By using this integral equation, the authors derive some new bounds on Hermite–Hadamard’s and ... See full document
30
A note on geometrically convex functions
... It was first discovered by Hermite in in the Journal Mathesis (see []). Inequality (.) was nowhere mentioned in the mathematical literature until . Beckenbach, a leading expert on the theory of convex ... See full document
12
A note on entire functions and their differences
... and g be two nonconstant meromorphic functions, and let a ∈ ...and g share the value a CM (IM) provided that f – a and g – a have the same zeros counting multiplicities (ignoring ... See full document
17
A note on generalized convex functions
... Note that the η-convexity reduces to the usual convexity if η(x, y) = x –y in Definition 1.3. The main purpose of the article is to give a non-trivial example for a η-convex func- tion defined on rectangle is not ... See full document
10
A note on rings of continous functions
... In the study of rings of real-valued continuous functions on a topological space, it is usually assumed that X is completely regular... tion of complete regularity on X has no loss of ge[r] ... See full document
6
Harmonic Beta-Preinvex Functions and Inequalities
... We now introduce a new class of harmonic convex functions, which is called the harmonic beta-preinvex functions. This class unifies the concept of harmonic beta-convex and beta-preinvex ... See full document
17
On the strictly G preinvex function
... strictly G-preinvex functions introduced by Antczak ...semistrictly G-preinvex functions and strictly G-preinvex functions, G-preinvex ... See full document
9
On the characterization of D preinvex functions
... In (J. Inequal. Appl. 2006:9532, 2006), Peng and Zhu discussed interrelations among D-preinvexity, D-semistrict preinvexity, and D-strict preinvexity for vector-valued functions. In this note, we show that ... See full document
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