Results 81 to 90 of about 67,609 (152)

Some new fractional q-integral Grüss-type inequalities and other inequalities [PDF]

, 2012
In this paper, we employ a fractional q-integral on the specific time scale, T t 0 =
Chaowu Zhu, Qingbo Zhao, Wengui Yang
core   +1 more source

Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula

, 2015
Some generalizations of Ostrowski-Gr\" uss type inequality and Taylor formula are given, by using harmonic sequences of polynomials. We use inequalities for the Cebysev functional in terms of the first derivative, for some new bounds for the remainders.
Khalid Mahmood Awan, J. Pečarić, A. Vukelic   +2 more
semanticscholar   +1 more source

Generalized Steffensen’s inequality by Montgomery identity

Journal of Inequalities and Applications, 2019
By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt, Asfand Fahad, Adil Naseer, Josip Pečarić   +3 more
doaj   +1 more source

Orthogonal Projection of an Infinite Round Cone in Real Hilbert Space [PDF]

, 2015
We fully characterize orthogonal projections of infinite right circular (round) cones in real Hilbert spaces. Another interpretation is that, given two vectors in a real Hilbert space, we establish the optimal estimate on the angle between the orthogonal
Kosor, Mate
core   +2 more sources

Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

Journal of Inequalities and Applications, 2018
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood, Saad Ihsan Butt, László Horváth, Josip Pečarić   +3 more
doaj   +1 more source

Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]

, 2008
Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core  

Approximation of the Stieltjes integral and applications in numerical integration [PDF]

, 2006
summary:Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds
Cerone, Pietro, Dragomir, Sever S.
core   +1 more source

Delta-Sincov mappings in Banach algebras

Journal of Inequalities and Applications, 2023
We study solutions and approximate solutions of the multiplicative Sincov equation T ( f , h ) = T ( f , g ) T ( g , h ) $$ T(f, h) = T(f, g)T(g, h) $$ for mapping T taking values in a commutative Banach algebra.
Włodzimierz Fechner, Aleksandra Świątczak   +1 more
doaj   +1 more source

Dynamic inequalities of Grüss, Ostrowski and Trapezoid type via diamond-α integrals and Montgomery identity

AIMS Mathematics
In this article, the Montgomery identity and Ostrowski inequality are established for univariate first-order diamond-alpha differentiable functions.
Marwa M. Tharwat, Marwa M. Ahmed, Ammara Nosheen, Khuram Ali Khan, Iram Shahzadi, Dumitru Baleanu, Ahmed A. El-Deeb   +6 more
doaj   +1 more source

Grüss type integral inequalities for generalized Riemann-Liouville k-fractional integrals

Journal of Inequalities and Applications, 2016
Integral inequalities are considered to be important as they have many applications described by a number of researchers. Moreover, the theory of fractional calculus is used in solving differential, integral, and integro-differential equations and also ...
Shahid Mubeen, Sana Iqbal
doaj   +1 more source