Results 71 to 80 of about 495 (141)

Generalizations of Ostrowski type inequalities via Hermite polynomials

Journal of Inequalities and Applications, 2020
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić, Josip Pečarić, Mihaela Ribičić Penava   +2 more
doaj   +1 more source

Discrete Grüss type inequality on fractional calculus [PDF]

, 2015
We give a discrete Grüss type inequality on fractional ...
AF Güvenilir, AM Mercer, Ayşe Feza Güvenilir, BG Pachpatte, Billur Kaymakçalan, CS Goodrich, DS Mitrinović, DS Mitrinović, Elvan Akin, F Atıcı, FM Atıcı, FM Atıcı, FM Atıcı, G Boros, G Grüss, GA Anastassiou, GA Anastassiou, GA Anastassiou, HL Gray, I Perić, JB Diaz, JE Pecaric, JE Pecaric, M Bohner, M Bohner, P Cerone, RAC Ferreira, RL Graham, Serkan Aslıyüce, SS Dragomir, SS Dragomir, Z Liu   +31 more
core   +1 more source

Some estimations for the Taylor's remainder

Journal of Numerical Analysis and Approximation Theory, 2013
In this paper, we establish several integral inequalities for the Taylor's remainder by Grüss and Cheyshev inequalities.
Hui Sun, Bo-Yong Long, Yu-Ming Chu
doaj   +2 more sources

Harmonic Multivariate Ostrowski and Grüss Type Inequalities for Several Functions

Demonstratio Mathematica, 2015
Here we derive very general multivariate Ostrowski and Grüss type inequalities for several functions by involving harmonic polynomials. Estimates are with respect to all basic norms.
Anastassiou George A.
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

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

On applications of Caputo k-fractional derivatives

Advances in Difference Equations, 2019
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid, Naveed Latif, Matloob Anwar, Ali Imran, Muhammad Ozair, Madeeha Nawaz   +5 more
doaj   +1 more source

On an inequality of Grüss type [PDF]

, 2006
We prove an inequality of Grüss type for p-norm, which for $p=infty$ gives an estimate similar to a result of Pachpatte [2]
J. Pečarić, Š. Ungar
core   +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

Some integral inequalities for operator monotonic functions on Hilbert spaces

Special Matrices, 2020
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
doaj   +1 more source