Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (α,m)-preinvex functions
نویسندگان
چکیده
منابع مشابه
New integral inequalities for $s$-preinvex functions
In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.
متن کاملIntegral Inequalities for Differentiable Relative Harmonic Preinvex Functions (survey)
In this paper, we consider and investigate the relative harmonic preinvex functions, which unifies several new known classes of harmonic preinvex functions. We derive several new integral inequalities such as Hermite-Hadamard, Simpson’s, trapezoidal for the relative harmonic preinvex functions. Since the relative harmonic preinvex functions include, convex function, harmonic convex functions, p...
متن کاملSome weighted Hermite-Hadamard-Noor type inequalities for differentiable preinvex and quasi preinvex functions
In this paper, we derive several weighted Hermite-HadmardNoor type inequalities for the differentiable preinvex functions and quasi preinvex functions. AMS (MOS) Subject Classification Codes: 26D15, 26D20, 26D07
متن کاملSome weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications
In this paper, we present weighted integral inequalities of Hermite-Hadamard type for differentiable preinvex and prequasiinvex functions. Our results, on the one hand, give a weighted generalization of recent results for preinvex functions and, on the other hand, extend several results connected with the Hermite-Hadamard type integral inequalities. Applications of the obtained results are prov...
متن کاملSome Integral Inequalities of Hermite-Hadamard Type for Multiplicatively s-Preinvex Functions
In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2015
ISSN: 1110-256X
DOI: 10.1016/j.joems.2014.06.006