In this paper, authors generalize logarithmic mean $L$, Neuman-Sándor $M$, two Seiffert means $P$ and $T$ as an application of generalized trigonometric and hyperbolic functions. Moreover, several two-sided inequalities involving these generalized means are established.

In this paper, a numerical method for solving the radiative transfer equation in a slab medium with isotropic scattering is presented. By employing the properties of Chebyshev wavelets together with the collocation method, the problem is reduced into a system of algebraic equations and the approximate solutions are computed. Moreover, numerical examples are included to demonstrate the validity and applicability of this method and a comparison is made with the existing results.

In this study, the author used integral transforms and a method of the exponential nature to deal with the families of fractional differential equations, Stieltjes type singular integral equations and boundary value problems. Certain integrals involving special functions are evaluated. Constructive examples are also provided throughout the paper. The main purpose of this article is to present mathematical results that are useful to researchers in a variety of fields.

In this paper, we have discussed the aspects of invariant sub manifolds of a $f_\lambda$-Hsu manifold with complemented frames. The relation between the integrability of Hsu-structure $F$ and that of manifold having $f_\lambda$-Hsu structure with complemented frames has been established. Some other results concerning the normality of $f_\lambda$-Hsu structure with complemented frames have also been obtained.

In this paper we introduce the new class of QTAG-modules namely $\omega_1$-$(\omega+n)$-projective modules, which is an amalgamation of three important classes of modules: $n$-bounded modules, the direct sum of uniserial modules and the countably generated modules. This class is given many equivalent characterizations including being the smallest class containing the $(\omega+n)$-projective modules that is closed with respect to $\omega_1$-bijective homomorphisms.

This paper deals with the existence of mild and integral solutions for a class of functional differential equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces associated with the concept of measure of noncompactness.

In this paper, we consider exponential change of Finsler metrics. First, we find a condition under which the exponential change of a Finsler metric is projectively related to it. Then we restrict our attention to the $4$-th root metric. Let $F=\sqrt[4]{A}$ be an $4$-th root Finsler metric on an open subset $U\subset \mathbb{R}^n$ and ${\bar F}=e^{\beta/F}F$ be the exponential change of $F$. We show that ${\bar F}$ is locally projectively flat if and only if it is locally Minkowskian. Finally, we obtain necessary and sufficient condition under which ${\bar F}$ be locally dually flat.

This article deals with the introduction of Gould-Hopper based Frobenius-Euler polynomials and derivation of their properties. The summation formulae and operational rule for these polynomials are derived. Also, certain identities for these polynomials are established by using operational formalism.

In this paper we give new and much shorter proofs of Boyd-Wong and Meir-Keeler type results. Also, we define a new form of Boyd-Wong type contraction mappings using simulation functions and obtain some sufficient conditions for the existence and uniqueness of a fixed point for such class of mappings in the setting of metric spaces. Also, we present some results regarding the property $P$ for these well-known types of self-mappings.

We introduced several new integral inequalities of the Hermite-Hadamard type for strongly $\eta$-convex functions via the Katugampola fractional integrals. Some results in the literature are particular cases of our results.

In this paper, we first examine the relationships between a double sequence and its arithmetic means in different senses (i. e. $(C,1,0)$, $(C,0,1)$ and $(C,1,1)$ means) in terms of slow oscillation in certain senses and investigate some properties of oscillatory behaviors of the difference sequence between the double sequence and its arithmetic means in different senses. Next, we give an alternative proof of the generalized Littlewood Tauberian theorem for Cesàro summability method as an application of the results obtained in the first part.

In the present paper using the principal of subordination we obtain sharp bounds for a class of non-Bazilevič functions with complex order defined by convolution.