Results 61 to 70 of about 2,702,462 (144)

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +1 more source

Some Integral Inequalities Involving Metrics. [PDF]

Entropy (Basel), 2021
Agarwal RP, Jleli M, Samet B.
europepmc   +1 more source

Convergence results for a class of abstract continuous descent methods

Electronic Journal of Differential Equations, 2004
We study continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish convergence theorems for those methods which are generated by approximate solutions to evolution equations governed by ...
Sergiu Aizicovici, Simeon Reich, Alexander J. Zaslavski   +2 more
doaj  

A Comprehensive Analysis of Proportional Caputo-Hybrid Fractional Inequalities and Numerical Verification via Artificial Neural Networks

Fractal and Fractional
Accuracy in fractional numerical integration is often limited by the regularity of the integrand. This work proposes a flexible error estimation framework for proportional Caputo-hybrid integral operators based on s-convexity.
Ayed R. A. Alanzi, Mariem Al-Hazmy, Raouf Fakhfakh, Wedad Saleh, Abdellatif Ben Makhlouf, Abdelghani Lakhdari   +5 more
doaj   +1 more source

Non-oscillatory behaviour of higher order functional differential equations of neutral type

Electronic Journal of Differential Equations, 2007
In this paper, we obtain sufficient conditions so that the neutral functional differential equation $$displaylines{ ig[r(t) [y(t)-p(t)y(au (t))]'ig]^{(n-1)} + q(t) G(y(h(t))) = f(t) }$$ has a bounded and positive solution.
Laxmi Narayan Padhy, Prayag Prasad Mishra, Niyati Misra, Radhanath Rath   +3 more
doaj  

Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities

Fractal and Fractional
This paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type inequalities to this domain. An integral equality involving Riemann–Liouville fractional integrals
Abdul Mateen, Wali Haider, Asia Shehzadi, Hüseyin Budak, Bandar Bin-Mohsin   +4 more
doaj   +1 more source

Refined Error Estimates for Milne–Mercer-Type Inequalities for Three-Times-Differentiable Functions with Error Analysis and Their Applications

Fractal and Fractional
In this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir, Shumin Li, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +4 more
doaj   +1 more source

On Proportional Caputo-Hybrid Fractional Milne-Type Inequalities: Theory, Numerical Simulations, and Applications

Axioms
The goal of this study is to establish a new type of Milne-type inequality in the scope of fractional calculus with the aid of proportional Caputo-hybrid operators.
Mariem Al-Hazmy, Yazeed Alkhrijah, Wedad Saleh, Borhen Louhichi, Badreddine Meftah   +4 more
doaj   +1 more source

Some new integral inequalities for Lipschitzian functions

, 2018
This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian ...
Ayd n, Alper, Kadakal, Mahir, can, mdat
core   +1 more source

Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

Fixed Point Theory and Applications, 2011
In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an ...
Piri Hossein, Badali Ali
doaj