In this paper, we establish some new versions of Hermite–Hadamard type inequalities for co-ordinated convex functions via q1,q2-integrals. Since the are newly proved, therefore consider examples and show their validity particular choices q1,q2∈(0,1). We hope that readers interest in these results.

The main objective of this project is obtaining topology-preserving maps (TPMs) from virtual coordinates (VCs) of wireless sensor networks. Virtual coordinates (VCs) provide an economical alternative to geographical coordinates for routing and self organization of large-scale wireless sensor networks (WSNs). This project proposes the TPM from the virtual co-ordinates. In a virtual coordinate sy...

We present a robust and accuracy enhanced method for analyzing the propagation behavior of EM waves in z-periodic structures in (r, ö, z)-cylindrical co-ordinates. A cylindrical disk, characterized by the radius a and the periodicity length Lz, defines the fundamental cell in our problem. The permittivity of the dielectric inside this cell is characterized by an arbitrary, single-valued functio...

In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...

In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...

In this paper, new Hermite-Hadamard type inequalities for coordinated convex and co-ordinated quasi convex functions are proved in a unique way. These results generalize many results proved in earlier works for these classes of functions. Finally, applications of our results are given to estimate the product of moments of two independent continuous random variables.