Results 181 to 186 of about 2,031 (186)

New Quantum Estimates for Midpoint and Trapezoid Type Inequalities Through (α,m)-Convex Functions with Applications

Annals of Mathematics and Physics
The main goal of current investigation is to present two new q-integral identities for midpoint and trapezoid type inequalities. Then using these identities, we develop several new quantum estimates for midpoint and trapezoid type inequalities via (α, m)-
Gulshan Ghazala, Ali Muhammad Aamir, Budak Huseyin, Hussain Rashida   +3 more
semanticscholar   +1 more source

On a New Inequality Similar to the Hardy - Hilbert Integral Inequality

Sarajevo Journal of Mathematics
A new inequality similar to the Hardy-Hilbert integral inequality is proved. Some special cases are also deduced.
W. T. Sulaiman
semanticscholar   +1 more source

Popoviciu type inequalities for n-convex functions via extension of weighted Montgomery identity

Studia Universitatis Babeş-Bolyai. Mathematica
In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained.
Asif R. Khan, Hira Nabi, J. Pečarić
semanticscholar   +1 more source

Riemann-Liouville and Caputo Fractional Approximation of Csiszar’s $f$-Divergence

Sarajevo Journal of Mathematics
Here are established various tight probabilistic inequalities that give nearly best estimates for the Csiszar's $f$-divergence. These involve Riemann-Liouville and Caputo fractional derivatives of the directing function $f.$ Also a lower bound is given ...
G. Anastassiou
semanticscholar   +1 more source

Simpson Type Estimations for Convex Functions via Quantum Calculus

Annals of Mathematics and Physics
We first establish a new identity including quantum integrals and quantum numbers via q -differentiable functions. After that, with the help of this equality, a Simpson-type inequality for functions whose quantum derivatives in modulus are convex is ...
Erden Samet, Alp Necmettin, Iftikhar Sabah   +2 more
semanticscholar   +1 more source

Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

Journal of Inequalities and Applications
A. Lakhdari, Muhammad Uzair Awan, S. Dragomir, Hüseyin Budak, B. Meftah   +4 more
semanticscholar   +1 more source