Journal of Mahani Mathematical Research Center
https://jmmrc.uk.ac.ir/
Journal of Mahani Mathematical Research Centerendaily1Thu, 01 Oct 2020 00:00:00 +0330Thu, 01 Oct 2020 00:00:00 +0330Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for dierentiable functions
https://jmmrc.uk.ac.ir/article_2637.html
In this paper, we give some inequalities for dierentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.Fractional q-differintegral operator related to univalent functions with negative coefficients
https://jmmrc.uk.ac.ir/article_2638.html
In this paper, we introduce a new subfamily of univalent functions defined in the open unit disk involving a fractional q-differintegral operator. Some results on coefficient estimates, weighted mean, convolution structure and convexity are discussedSome results on Hermite-Hadamard inequalities
https://jmmrc.uk.ac.ir/article_2639.html
In this paper, we establish Hermite-Hadamard inequalities for uniformly p-convex functions and uniformly q-convex functions. Also, we obtain some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are the class of uniformly p-convex.An efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation method
https://jmmrc.uk.ac.ir/article_2640.html
In this paper we consider the one-dimensional variable-order time fractional diffusion equation where the order is $ q(x,t)\in (0,1) $. One type of Caputo fractional derivative is introduced and to get a numerical technique, the time variable is discretized using a finite difference plan then we use a spectral collocation method to discretize the spatial derivative.&lrm; &lrm;In order to show the effectiveness and accuracy of this method&lrm;, &lrm;some test problems are considered&lrm;, &lrm;and it is shown that the obtained results are in very good agreement with exact solutions&lrm;.On ergodic shadowing and specification properties of nonautonomous discrete dynamical systems
https://jmmrc.uk.ac.ir/article_2769.html
&lrm;We show that a nonautonomous discrete-time dynamical system (NDS) with the ergodic shadowing property is chain mixing&lrm;. &lrm;As a result&lrm;, &lrm;it is obtained that a $ k $-periodic NDS with the ergodic shadowing property has the shadowing property&lrm;. In particular&lrm;, &lrm;any $ k $-periodic NDS on intervals having the ergodic shadowing is Devaney chaotic&lrm;. Additionally&lrm;, &lrm;we prove that for an equicontinuous NDS with the shadowing property&lrm;, &lrm;the notions of topologically mixing&lrm;, &lrm;pseudo-orbital specification&lrm;, &lrm;weak specification property&lrm;, &lrm;and ergodic shadowing property are equivalent&lrm;.SOME GENERALIZED RESULTS BASED ON DIFFERENTIAL SUBORDINATIONS OF ANALYTIC FUNCTIONS
https://jmmrc.uk.ac.ir/article_2786.html
For the function f(z) analytic in the open unit disk and normalized by f(0) = f0(0)&minus;1 = 0, we consider the expression; ( zf0(z)f(z)&minus;1)+1&minus;( zf(z) );( &gt; 0). Using differential subordination notion, we investigate properties of ( f(z) z ), as well as, sufficient conditions for univalence and starlikeness of f(z). In the special case, for = 1, these results generalize and improve some previously results given in the literature.On Product Stable Quotient Order-homomorphisms
https://jmmrc.uk.ac.ir/article_2787.html
In this paper, we study the properties of some classes of quotientorder-homomorphisms, as product stable in the category of topological fuzzes.We dene the concept of a bi-quotient order-homomorphism and show that forHausdorff topological fuzzes, a quotient order-homomorphism f : L1 ! L2 isproduct stable if and only if f is bi-quotient and L2 is a core compact topologicalfuzz.