Results 31 to 40 of about 320 (142)

On Logarithmic Convexity for Differences of Power Means

Journal of Inequalities and Applications, 2007
We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Simic Slavko
doaj  

Existence results for boundary value problems of arbitrary order integrodifferential equations in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality ...
Karthikeyan K., Ahmad Bashir
doaj   +1 more source

Unveiling new reverse Hilbert-type dynamic inequalities within the framework of Delta calculus on time scales

AIMS Mathematics
Some new reverse versions of Hilbert-type inequalities are studied in this paper. The results are established by applying the time scale versions of reverse Hölder's inequality, reverse Jensen's inequality, chain rule on time scales, and the mean ...
Haytham M. Rezk, Mohammed Zakarya, Amirah Ayidh I Al-Thaqfan, Maha Ali, Belal A. Glalah   +4 more
doaj   +1 more source

New fractal–fractional Simpson estimates for twice differentiable functions with applications

Kuwait Journal of Science
In this article, we establish a new auxiliary identity on fractal sets for twice local differentiable function involving extended fractal integral operators.
Saad Ihsan Butt, Ahmad Khan, Sanja Tipurić-Spužević   +2 more
doaj   +1 more source

Estimation for incomplete information stochastic systems from discrete observations

Advances in Difference Equations, 2019
This paper is concerned with the estimation problem for incomplete information stochastic systems from discrete observations. The suboptimal estimation of the state is obtained by constructing the extended Kalman filtering equation.
Chao Wei
doaj   +1 more source

Jensen's Functionals on Time Scales

Journal of Function Spaces and Applications, 2012
We consider Jensen’s functionals on time scales and discuss its properties and applications. Further, we define weighted generalized and power means on time scales.
Matloob Anwar, Rabia Bibi, Martin Bohner, Josip Pečarić   +3 more
doaj   +1 more source

Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]

Heliyon, 2022
Tsegaw BB.
europepmc   +1 more source

Refinements of Hölder's inequality derived from functions $\psi_{p,q,\lambda}$ and $\phi_{p,q,\lambda}$ [PDF]

, 2011
Ludmila Nikolova, Sanja Varošanec
openalex   +1 more source

Inequalities of Fejer Type Related to Generalized Convex Functions

International Journal of Analysis and Applications, 2018
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative
S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour   +2 more
doaj   +2 more sources

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

Mathematical Modelling and Analysis, 2016
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic, Josip Pečaric, Ana Vukelic   +2 more
doaj   +1 more source