We have analyzed the Barrow holographic dark energy (BHDE) in framework of flat FLRW universe by considering various estimations exponent △. Here, we define BHDE, applying usual principle at a cosmological system, for utilizing entropy rather than standard Bekenstein–Hawking. To understand recent accelerated expansion universe, consider Hubble horizon as IR cutoff. The parameters, especially density parameter [Formula: see text], equation state text] and deceleration are studied this paper...

In this paper, we have searched the existence of bulk viscous Bianchi-I embedded cosmological model in [Formula: see text] gravity by taking into account simplest coupling between matter and geometry such that with a constant. To obtain deterministic solution, assume scale factor hybrid form — product power law exponential type function describes transitioning universe explain physical behavior early as well present universe. It has been found presence viscosity, solution is stable favor...

Modeling of matter bounce in $f(R,T)$ gravity has been presented with no violation the null energy condition. Only a closed universe negative pressure is allowed good agreement some recent observations which favor positive curvature. Our results agree works combination curvature and vacuum leads to non-singular bounces The stability model discussed. cosmographic parameters are developed for derived explain accelerated expansion universe.

In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. our aim is to constrain dark energy an anisotropic background. For purpose, explicit solution of developed equations for determined and analyzed. Constraints on parameters are established utilizing Markov Chain Monte Carlo (MCMC) analysis using latest observational datasets OHD, BAO, Pantheon. combined dataset (OHD, Pantheon), best-fit values Hubble density estimated as...

In this paper, following a very recent and new approach of Aizpuru et al. (Quaest. Math. 37:525-530, 2014), we further generalize concept α-density to that $f_{\alpha}$ -density, where f is an unbounded modulus $0 < \alpha\leq1$ . As consequence, obtain nonmatrix convergence method, namely f-statistical order α or $S_{\alpha}^{f}$ -convergence, which intermediate between the ordinary statistical α. We also introduce strong Cesàro summability with respect function f, finally investigate...

We have introduced and studied a new concept of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math>-lacunary statistical convergence, where<mml:math id="M2"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math>is an unbounded modulus. It is shown that, under certain conditions on modulus<mml:math id="M3"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math>, the concepts of lacunary strong convergence with respect to...

In this paper, we have generalized the behaviors of transit cosmological model under observational data with Barrow holographic dark energy. We consider scale factor field as [Formula: see text] to get exact solutions for equations in a non-flat FRW universe Brans–Dicke theory. The values parameters and are obtained by best fitting 46 Hubble (OHD) points range text]. derived exhibits transition scenario open, flat closed universe. EoS parameter shows quintom-like behavior, lies both...

The main object of this paper is to introduce a new concept weak statistically Cauchy sequence in normed space. It shown that reflexive space, sequences are the same as weakly convergent sequences. Finally, statistical convergence has been discussed in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="E1"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math>spaces.

Fridy and Orhan (Proc. Am. Math. Soc. 125(12):3625-3631, 1997) introduced the concepts of statistical boundedness, limit superior, inferior, they established an analog Knopp's Core Theorem. In present paper, we examine concept boundedness to establish analogs various well-known results concerning generalize by introducing order α, λ-statistical α. MSC:40C05, 40A05, 46A45.

We have investigated the cosmic transit behavior of LRS Bianchi-I universe in modified [Formula: see text] gravity theory whose functional form is taken as text], where Ricci scalar and energy–momentum tensor. Subjecting deceleration parameter to periodic variations oscillatory EoS violation conservation wide range parameters been observed. Hubble oscillates but remains positive which signify alternate decelerating accelerating expansion with no singularity.

In the present work, we have analyzed behaviors of extension generalized Barrow holographic dark energy(`BHDE'). A ``generalized BHDE model based on particle and future horizon using infrared cut-off" was proposed by Nojiri et al. (2022). this reviewed under assumption a HDE cut-off. Using scale factor form $a = k t^m$, dynamics cosmos been discussed through graphic demonstration. By applying ``open-source emcee Python package", values free parameters $k$ $m$ are estimated 57 OHD points...