Abstract: Gupta and Ahmad [1] introduced the modified Beta operators Bn ( f , x )and estimated some direct results in simultaneous approximation. In the present paper, we study certain integral modification of the well known modified Beta-Stancu operators with the weight function of Beta basis function. We establish rate of convergence for these operators for functions having derivatives of bou...

We consider modified symmetric teleparallel gravity (STG), in which gravitational Lagrangian is given by the arbitrary function of non-metricity scalar $Q$ to study static and spherically charged traversable wormhole solutions with non-commutative background geometry. The matter source at throat acknowledged be anisotropic, redshift has a constant value (thus, our solution non-tidal). obtained ...

let $x$ be a reflexive banach space, $t:xto x$ be a nonexpansive mapping with $c=fix(t)neqemptyset$ and $f:xto x$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. in this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences t...

Proofs are given that the quantum-mechanical description of the LC-circuit with a time dependent external source can be readily established by starting from a more general discretization rule of the electric charge. For this purpose one resorts to an arbitrary but integer-dependent real function F (n) instead of n. This results in a nontrivial generalization of the discrete time dependent Schrö...

The aim of the present work was to investigate poloxamer 188 (F-68) modified montmorillonite (Mt) clay as an oral drug delivery vehicle for in vitro release of anti-inflammatory drugdiclofenac sodium (DS). The clay (Mt) was treated with F-68 and the synthesized modified Mt, (F-68-Mt) was characterized by X-Ray diffraction (XRD) studies (which confirmed the intercalation of F-68 in the clay inte...

In the present paper we study a conformally flat generalized Ricci recurrent perfect fluid spacetime with constant scalar as solution of modified $F(R)$-gravity theory. We show that Robertson-Walker is Recurrent if and only it symmetric. The type matter shown to have EoS $\omega=-1$. Some energy conditions are analyzed couple popular toy models $F(R)$-gravity, like $F(R)= R+\alpha R^m $ where $...

In this paper, the authors investigate the generalized Hyers-UlamAoki-Rassias stability of a quartic functional equation g(2x+ y + z) + g(2x+ y − z) + g(2x− y + z) + g(−2x+ y + z) + 16g(y) + 16g(z) = 8[g(x+ y) + g(x− y) + g(x+ z) + g(x− z)] + 2[g(y + z) + g(y − z)] + 32g(x). (1) The above equation (1) is modified and its Hyers-Ulam-Aoki-Rassias stability for the following quartic functional equ...

We establish the rate of convergence for the modified Beta operators B n f, x, for functions having derivatives of bounded variation.

In the context of modified theory of gravity (f(R) gravity) we try to study the conditions needed for validity of the generalized second law.