A new approach to define the similarity measure betweeninterval-valued fuzzy sets is presented. The proposed approach isbased on a weighted measure in which the normalized similaritiesbetween lower functions and also between upper functions arecombined by a weight parameter. The properties of this similaritymeasure are investigated. It is shown that, the proposed measurehas some advantages in c...

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

In a recent paper, Cohl and Costas-Santos derived number of interesting multi-derivative multi-integral relations for the associated Legendre Ferrers functions in which orders those are changed integral steps. These potential use physical problems. We show here how their results can be simply from more general involving non-integer changes order obtained using fractional group operator methods ...

The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences polynomials w-harmonic functions. In special cases, estimates are derived various classical quadrature formulae such as the Gauss–Legendre Gauss–Chebyshev first second kind.

Other machines on which the adaption has been tested: CRAY-i Other machines on which the adaption has been tested: CRAY-i and 1BM4341/2 No. of bits in a byte: 8 No. of bits in a byte: 8 No. of lines required to effect adaptation: 190 No. of lines required to effect adaptation: 215 Additional keywords: spherical oscillator functions . Additional keywords: Gauss—Legendre quadrature, isotopic subs...

The spectral method with discrete spherical harmonics transform plays an important role in many applications. In spite of its advantages, the spherical harmonics transform has a drawback of high computational complexity, which is determined by that of the associated Legendre transform, and the direct computation requires time of O(N3) for cut-off frequency N . In this paper, we propose a fast a...

The Legendre polynomial expansion method (LPEM), which has been successfully applied to homogenous and longitudinally inhomogeneous gratings [J. Opt. Soc. Am. B24, 2676 (2007)], is now generalized for the efficient analysis of arbitrary-shaped surface relief gratings. The modulated region is cut into a few sufficiently thin arbitrary-shaped subgratings of equal spatial period, where electromagn...