[PDF] Top 20 Some Characterizations of General Preinvex Functions
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Some Characterizations of General Preinvex Functions
... convex functions was that of invex functions which was introduced by Hanson ...convex functions, which is called preinvex ...differentiable preinvex functions are invex ... See full document
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Some Hermite-Hadamard type inequalities for n-time differentiable functions which are generalized (s,m)-preinvex functions
... the functions which their derivatives of order n are generalized (s, m)-preinvex functions via classical ...integrals. Some known results are improved (see [1]), and we provide new estimates ... See full document
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Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications
... the preinvex functions and their role in optimization, variational inequalities and equilibrium ...invex functions as a significant gener- alization of the convex ...of preinvex ... See full document
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On properties of geodesic semilocal E preinvex functions
... Generalized convex functions, labeled as semilocal convex functions, were introduced by Ewing [6] by using more general semilocal preinvexity and η-semidifferentiability. After that optimality ... See full document
13
A note on G preinvex functions
... corresponding general generalized ...give some definitions and some preliminaries; moreover, we establish the useful Lemma ...two characterizations for G-preinvex functions and ... 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
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Extensions of different type parameterized inequalities for generalized \((m,h)\) preinvex mappings via k fractional integrals
... a general k-fractional integral identity with multi-parameters for twice differentiable ...derive some new bounds on Hermite–Hadamard’s and Simpson’s inequalities for generalized (m,h)-preinvex ... See full document
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Inequalities for the weighted mean of r-preinvex functions on an invex set
... Taking w ≡ 1, the inequality (3.8) reduces to the inequality given by Ui-Haq and Iqbal in [21]. Further, taking r = 1 or r = 0, the inequality (3.8) reduces to the inequality given by Noor in [10]. So the inequality ... See full document
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Geodesic r preinvex functions on Riemannian manifolds
... invex functions on Riemannian manifolds was introduced by Pini [] and Mititelu [], and they investigated its ...found some interesting ...η-preinvex functions to geodesic α-preinvex ... See full document
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Harmonic Beta-Preinvex Functions and Inequalities
... convex functions had not only stimulated new and deep results in many branches of mathematical and engineering sciences, but also provided us a unified and general frame work to study a wide class of ... See full document
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On preinvex type functions
... And they proved that a di ff erentiable function which is invex with respect to η is also preinvex under Condition C. Mohan and Neogy also give an example which shows that Condition C may hold for a general ... See full document
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Some Characterizations of Harmonic Convex Functions
... vex functions and its variant forms have been extended and generalized using innovative techniques to study complicated ...convex functions are characterized by variational inequalities, the origin of which ... See full document
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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 the ... See full document
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Some Integral Inequalities for beta-Preinvex Functions
... of preinvex functions, which is called beta-preinvex ...functions. Some Hermite-Hadamard type inequalities for beta-preinvex functions are ...establish some ... See full document
13
On the strictly G preinvex function
... and some generalizations of convexity play a crucial role in mathematical eco- nomics, engineering, management science, and optimization ...convex functions and also to seek practi- cal criteria for ... See full document
9
Properties of rational arithmetic functions
... arithmetic functions. In the next section, some characterizations of these functions are derived and are then used in the next sections to investigate whether two types of identities, the ... See full document
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Integral inequalities of Hermite Hadamard type for functions whose derivatives are α preinvex
... of functions, and find some Hermite-Hadamard type integral inequalities for a function that the power of the absolute value of its first derivative is ... See full document
10
New integral inequalities for $s$-preinvex functions
... recall some definitions: A nonempty closed set I in R is said to be invex at x with respect to η, if x + tη (y, x) ∈ I holds for all x, y ∈ I and t ∈ [0, 1], where η is a continuous bi-function η : I × I → R , if ... See full document
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4.Quaternionic Bertrand curves in Eucledian 4-space
... give some characterizations for a (1, 3) − type quaternionic Bertrand curves in Euclidean 4-space by means of the curvature functions of the ... See full document
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Nano contra semi c(s) generalized continuity in Nano Topological Spaces
... Abstract: The purpose of this paper is to introduce and study the stronger form of continuity called Nano contra semi c(s) generalized continuity in Nano topological spaces. Some of the properties of Nano contra ... See full document
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