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...

using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

We propose a contour integral representation for the one-point correlators at genus one of the primaries of a family of rational logarithmic conformal field theories. Report No: HRI-P-08-10-001 ∗On leave of absence from the Harish-Chandra Research Institute, Allahabad, India. 1

The partition function by means of the static path approximation (SPA) plus the random-phase approximation (RPA) treatment can be written as a contour integral form without solving the RPA equations for a separable interaction. This method is an efficient way to evaluate numerically the partition function for realistic calculations. As an illustration, we adopt the pairing model at finite tempe...

We revisit the complex time method for application to quantum dynamics as an exceptional point is encircled in parameter space of Hamiltonian. The basic idea using contour integration perform first-order adiabatic perturbation integral. In this way, dynamical problem transformed a study singularities plane – transition points which represent degeneracies Hamiltonian time-dependent parameters de...

The cross-section for a charged pion pair production by two photons is evaluated by using the low energy expression previously obtained from current algebra and PCAC which involves an integral over vector and axial-vector spectral functions. Data on the latter obtained from τ-decay as measured by the ALEPH collaboration is then inserted in the integral which is appropriately modified in order t...

The solutions of certain elliptic PDEs can be expressed as contour integrals of Dunford type. In this paper efficient contours and quadrature rules for the approximation of such integrals are proposed. The trapezoidal and midpoint rules are used in combination with a conformal mapping that fully exploits the analyticity of the integrand, leading to rapidly converging quadrature formulas of doub...

An active-contour-interpolation approach is proposed for semi-automatic video object generation. In this approach, user can de ne the contour of the same video object on multiple frames and the computer interpolates the missing contours automatically. Typical active contour model is adapted and the contour interpolation problem is decomposed into two directional contour tracking problems and a ...