Some new integral inequalities for Lipschitzian 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 کاملSome new integral inequalities withmixed nonlinearities for discontinuous functions
*Correspondence: [email protected] School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, P.R. China Abstract In this paper, we establish some new integral inequalities with mixed nonlinearities for discontinuous functions, which provide a handy tool in deriving the explicit bounds for the solutions of impulsive differential equations and differential-integral equations with imp...
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 کامل(m1,m2)-AG-Convex Functions and Some New Inequalities
In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.
متن کاملOn Some New Impulsive Integral Inequalities
Differential and integral inequalities play a fundamental role in global existence,uniqueness, stability, and other properties of the solutions of various nonlinear differential equations; see 1–4 . A great deal of attention has been given to differential and integral inequalities; see 1, 2, 5–8 and the references given therein. Motivated by the results in 1, 5, 7 , the main purpose of this pap...
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: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
سال: 2018
ISSN: 2146-5703,2146-0957
DOI: 10.11121/ijocta.01.2018.00565