Abstract The peakons and mulit-peakons for a generalized cubic–quintic Camassa–Holm type equation have been obtained by Weng et al. (Monatsh Math, 2022. https://doi.org/10.1007/s00605-022-01699-w ). In this paper, constructing certain Lyapunov functionals, we prove that the were orbitally stable in energy space. Furthermore, using argument combining method of orbital stability with monotonicity...

Purpose: The purpose of the present paper is to study the product (N, pn) (C, 1) summability of a sequence of Fourier coefficients which extends a theorem of Prasad. Methods: We use Np. C 1 summability methods with dropping monotonicity on the generating sequence {pn − k} (that is, by weakening the conditions on the filter, we improve the quality of digital filter). Results: Let Bn(x) denote th...

We explore and relate two notions of monotonicity, stochastic and realizable, for a system of probability measures on a common finite partially ordered set (poset) S when the measures are indexed by another poset A. We give counterexamples to show that the two notions are not always equivalent, but for various large classes of S we also present conditions on the poset A that are necessary and s...

In this paper, we consider a history-dependent mixed shock model which is combination of the extreme and $\delta$ -shock model. We assume that shocks occur according to generalized Pólya process contains homogeneous Poisson process, non-homogeneous as particular cases. For defined survival model, derive corresponding function, mean lifetime failure rate. Further, study asymptotic monotonicity p...

Interval games are an extension of cooperative coalitional games, in which players assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval instead real number. This study revisits two game versions Shapley values (i.e., the value and Shapley-like value) characterizes them using axiomatic approach. For value, we show that existing axiomatization can be generali...

We introduce the Levinson functional on time scales using integral inequality of Levinson’s type in terms Δ-integral for convex (concave) functions scale sets and investigate its properties such as superadditivity monotonicity. The obtained are used to derive bounds given those results provide a refinement converse known scales. Further, we define new types functionals weighted generalized powe...

Variance and Fisher information are ingredients of the Cramér-Rao inequality. We regard Fisher information as a Riemannian metric on a quantum statistical manifold and choose monotonicity under coarse graining as the fundamental property of variance and Fisher information. In this approach we show that there is a kind of dual one-to-one correspondence between the candidates of the two concepts....