Two q-supercongruences of truncated basic hypergeometric series containing two free parameters are established by employing specific identities for ba......
We prove two supercongruences for sums of the Apery-like numbers: T-n = Sigma(n)(k=0) ((k) (n))(2) ((n) (2k))(2), which was first introduced by Almkvi......
In this paper, we provide a method to construct a continued-fraction approximation based upon a given asymptotic expansion. As applications of the met......
In the paper, with the aid of the Cebysev integral inequality, by virtue of the integral representation of the Riemann zeta function, with the use of ......
Let psi(n) = (-1)(n-1) psi((n)) for n >= 0, where psi((n)) stands for the psi and polygamma functions. For p, q is an element of R and rho = min (p......
In this paper, we first propose and establish an Orlicz log-Minkowski inequality for affine surface areas by introducing new concepts of affine surfac......
For a, b > 0 with a not equal b, the Toader mean of a and b is defined by T (a, b) = 2/pi integral(pi/2)(0) root a(2)cos(2) t + b(2)sin(2) tdt. In ......
A subset S of a paratopological group G is a suitable set for G, if S is a discrete subspace of G, S boolean OR {e} is closed, and the subgroup < S......
Let P be a topological property. We say that a space X is dually P if for any neighbourhood assignment O={O-x : x is an element of X} of X, there is a......
In many cases, the differential equations are converted into an equivalent functional equations involving integral operators generated by different ke......
In the article, we present the best possible parameters alpha, beta such that the double inequality S-alpha(a, b) < T-4(a, b) < S-beta(a, b) hol......
Let G = (V, E) be a locally finite, connected and weighted graph. We prove that, for a graph satisfying curvature dimension condition CDE' (n, 0) and ......
In this paper, we present sharp power mean bounds for the so-called lemniscate type means, which were introduced by Neuman (Math Pannon 18(1):77-94, 2......
Let R be an associative ring with unity 1. The main contribution of this paper is to introduce the notion of generalized quasipolar elements in R as a......
We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and de......
