Results 91 to 100 of about 27,878 (202)
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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This study extended a fundamental idea about convexificators to the Hadamard manifolds. The mean value theorem for convexificators on the Hadamard manifold was also derived.
Nagendra Singh +3 more
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In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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Multi‐Channel Convolutional Neural Quantum Embedding
This study presents convolutional neural quantum embedding (CNQE), a framework for optimizing quantum data embeddings for multi‐channel data classification, grounded in quantum state discrimination and Fourier analysis of quantum circuits. CNQE is validated through proof‐of‐principle demonstrations on CIFAR‐10 and Tiny ImageNet, showing improved ...
Yujin Kim +4 more
wiley +1 more source
Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
wiley +1 more source
Integral inequalities for some convex functions via generalized fractional integrals
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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Kadison’s Schwarz and Kantorovich inequalities on correlation operators [PDF]
Applying Kadison’s Schwarz inequality and the Kantorovich inequality to Hadamard products of operators, we show some facts on correlation operators which are defined in virture of the Hadamard ...
Izumino Saichi, Nakamura Masahiro
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A theorem concerning Fourier transforms: A survey
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Hermite-Hadamard Inequality on Time Scales [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources

