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Pusz–Woronowicz Functional Calculus and Extended Operator Convex Perspectives
In this article, we first study, in the framework of operator theory, Pusz and Woronowicz’s functional calculus for pairs of bounded positive...
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Extended calculi and powers of operators
In this chapter we address two strongly interwoven topics: How to verify the boundedness of the H∞-calculus of an operator and how to represent and...
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Extended dissipativity criterion for fractional-order neural networks with time-varying parameter and interval uncertainties
This paper investigates the issue of extended dissipativity performance for a class of fractional-order uncertain neural networks. Distinct from the...
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Perspectives, Means and their Inequalities
The perspective function is useful in convex analysis. In the study of operator theory, an operator mean can be realized as the operator perspective...
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Intuitionistic fuzzy muirhead means motivated by frank triangular norms
The Muirhead Mean (MM) tools are more powerful and well-known operators utilized to express interrelationships among any input arguments...
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Extended Lie Method for Mixed Fractional Derivatives, Unconventional Invariants and Reduction, Conservation Laws and Acoustic Waves Propagated via Nonlinear Dispersive Equation
This study primarily aims to investigate the application of the Lie symmetry method and conservation law theories in the analysis of mixed fractional...
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Finding Generative Rules in Settlements and Houses by Means of an Ideographic Language
This research revisits an early space syntax method of ideographic representation which was proposed by Hillier and his colleagues in the 1970s. The...
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Some Questions Related to Extended Eigenvalues and Extended Eigenoperators
We survey some results that were originated studying extended eigenvalues of bounded linear operators and their corresponding extended...
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A Brunn–Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories
In this paper, we firstly generalize the Brunn–Minkowski type inequality for Ekeland–Hofer–Zehnder symplectic capacity of bounded convex domains...
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Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich matrices and Dashnic–Zusmanovich-B matrices
Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich ( DZ ) matrices and Dashnic–Zusmanovich-B ( DZ - B )...
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Monte Carlo method for fractional-order differentiation extended to higher orders
In this work the Monte Carlo method, introduced recently by the authors for orders of differentiation between zero and one, is further extended to...
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Application of the extended Fourier amplitude sensitivity testing (FAST) method to inflated, axial stretched, and residually stressed cylinders
This paper is dedicated to applying the Fourier amplitude sensitivity test (FAST) method to the problem of mixed extension and inflation of a...
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Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle
AbstractWe discuss several seemingly assorted objects: the umbral calculus, generalised translations and associated transmutations, symbolic calculus...
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A Seamless, Extended DG Approach for Advection–Diffusion Problems on Unbounded Domains
We propose and analyze a seamless extended Discontinuous Galerkin (DG) discretization of advection–diffusion equations on semi-infinite domains. The...
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Almost everywhere divergence of Cesàro means of subsequences of partial sums of trigonometric Fourier series
In this paper, we investigate the relationship between pointwise convergence of the arithmetic means corresponding to the subsequence of partial...
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Sobolev Spaces in Extended Metric-Measure Spaces
These lecture notes contain an extended version of the material presented in the C.I.M.E. summer course in 2017. The aim is to give a detailed...