Results 111 to 120 of about 1,486 (259)
New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner +7 more
wiley +1 more source
General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2018 Farid G +4 more
europepmc +1 more source
Generalized Steffensen Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these inequalities using the local fractional integral.
Sarıkaya, Mehmet Zeki +2 more
openaire +3 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source
Naval Research Logistics (NRL), EarlyView.ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
wiley +1 more source
Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]
J Inequal Appl, 2018 Nwaeze ER, Kermausuor S, Tameru AM.
europepmc +1 more source