preinvex functions
Some Hermite-Hadamard type inequalities for n-time differentiable functions which are generalized (s,m)-preinvex functions
... In this paper, we investigated Hermite-Hadamard type inequalities for the functions which their derivatives of order n are generalized (s, m)-preinvex functions via classical integrals. Some known ...
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Geodesic r preinvex functions on Riemannian manifolds
... r-preinvex functions and r-invex functions on Riemannian mani- folds, which is a generalization of preinvexity as defined in [, ...r-preinvex functions are ...these 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 ...
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Some Integral Inequalities for beta-Preinvex Functions
... of preinvex functions, which is called beta-preinvex ...beta-preinvex functions are ...beta functions for the class of functions whose certain powers of the absolute value ...
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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 ...
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Inequalities for the weighted mean of r-preinvex functions on an invex set
... r-preinvex functions on an invex set and gave a new method to solve nonlinear mathematical pro- gramming ...the preinvex and log-preinvex ...r-preinvex functions on an invex set ...
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Hermite-Hadamard Type Fractional Integral Inequalities for Generalized (r;s,m,varphi)-preinvex Functions
... Motivated by these results, in Section 2, the notion of generalized (r; s, m, ϕ)-preinvex function is introduced and some new integral inequalities for the left hand side of (3) in- volving generalized (r; s, m, ...
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Properties and Riemann Liouville fractional Hermite Hadamard inequalities for the generalized \((\alpha,m)\) preinvex functions
... which is a contradiction to (.). This completes the proof. By Proposition ., we can conclude that explicitly (α, m)-preinvex functions constitute an important class of generalized convex ...
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More results on integral inequalities for strongly generalized \(( \phi,h,s )\) preinvex functions
... convex functions is that of invex functions presented in ...the preinvex functions and their use in optimization and mathematical programming issues have been considered in ...the ...
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On properties of geodesic semilocal E preinvex functions
... of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex ...
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A note on G preinvex functions
... G-preinvex functions have been deduced; when an intermediate- point G-preinvexity is satisfied, two equivalent relationships between G-preinvexity and prequasi-invexity have been established (see Theorems ...
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Estimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h preinvex functions
... s-convex functions [5], Q-functions [12], and P-functions ...convex functions. For details, see [9]. h-convex functions have received special attention by many researchers and, conse- ...
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On Hermite-Hadamard type inequalities for generalized (s,m,ϕ)-preinvex functions via k-fractional integrals
... The aim of this paper is to establish some generalizations of Hermite-Hadamard type inequal- ities using new identity given in Section 2 2 for generalized (s, m, ϕ )-preinvex functions via k-fractional ...
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On the characterization of D preinvex functions
... D-preinvex functions. We then get a suf- ficient condition of the strictly D-preinvex functions in terms of intermediate-point D- preinvex ...D-preinvex functions and ...
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Uncertain Fuzzy Hermite Hadamard Type Inequalities for MT(m,φ) Preinvex Functions
... Abstract In this paper, a new class of M Tm,ϕ -preinvex functions is introduced and some uncertain fuzzy HermiteHadamard type inequalities for M Tm,ϕ -preinvex functions via Riemann-Liou[r] ...
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On some Hadamard type inequalities for (h1,h2) preinvex functions on the co ordinates
... holds for all x, y ∈ I and t ∈ [, ]. If the reversed inequality in (.) holds, then f is concave. Many important inequalities have been established for the class of convex functions, but the most famous is the ...
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Hermite Hadamard type inequalities for n times differentiable and preinvex functions
... Abstract In the paper, by creating an integral identity involving an n-times differentiable function, the authors establish some new Hermite-Hadamard type inequalities for preinvex functi[r] ...
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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 ...
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Riemann-Liouville Fractional Hermite-Hadamard Inequalities for differentiable $\lambda \varphi $-preinvex functions
... In this work, we demonstrate Hermite-Hadamard type inequalities for Riemann-Liouville fractional inte-.. grals via once differentiable and twice differentiable defined using λϕ-preinvex [r] ...
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On Some New Inequalities for Differentiable (h1,h2)– Preinvex Functions on the Co Ordinates
... convex functions, which is also known as co-ordinated convex functions, was introduced by Dragomir ...convex functions on the co-ordinates: ...
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