• Title/Summary/Keyword: Generalized means

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RELATIONS OF DAGUM DISTRIBUTION BASED ON DUAL GENERALIZED ORDER STATISTICS

  • KUMAR, DEVENDRA
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.477-493
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    • 2017
  • The dual generalized order statistics is a unified model which contains the well known decreasingly ordered random variables like order statistics and lower record values. With this definition we give simple expressions for single and product moments of dual generalized order statistics from Dagum distribution. The results for order statistics and lower records are deduced from the relations derived and some computational works are also carried out. Further, a characterizing result of this distribution on using the conditional moment of the dual generalized order statistics is discussed. These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we tabulate the means, variances, skewness and kurtosis of order statistics and record values of the Dagum distribution.

Some Properties of the Generalized Apostol Type Hermite-Based Polynomials

  • KHAN, WASEEM AHMAD
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.597-614
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    • 2015
  • In this paper, we study some properties of the generalized Apostol type Hermite-based polynomials. which extend some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of high order. Numerous properties of these polynomials and some relationships between $F_n{^{({\alpha})}}(x;{\lambda};{\mu};{\nu};c)$ and $_HF_n{^{({\alpha})}}(x;{\lambda};{\mu};{\nu};c)$ are established. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.

Some Paranormed Difference Sequence Spaces Derived by Using Generalized Means

  • MANNA, ATANU;MAJI, AMIT;SRIVASTAVA, PARMESHWARY DAYAL
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.909-931
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    • 2015
  • This paper presents some new paranormed sequence spaces $X(r,s,t,p;{\Delta})$ where $X{\in}\{l_{\infty}(p),c(p),c_0(p),l(p)\}$ defined by using generalized means and difference operator. It is shown that these are complete linear metric spaces under suitable paranorms. Furthermore, the ${\alpha}$-, ${\beta}$-, ${\gamma}$-duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from $X(r,s,t,p;{\Delta})$ to X. Finally, it is proved that the sequence space $l(r,s,t,p;{\Delta})$ is rotund when $p_n$ > 1 for all n and has the Kadec-Klee property.

A SHORT NOTE ON BIHARMONIC SUBMANIFOLDS IN 3-DIMENSIONAL GENERALIZED (𝜅, 𝜇)-MANIFOLDS

  • Sasahara, Toru
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.723-732
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    • 2016
  • We characterize proper biharmonic anti-invariant surfaces in 3-dimensional generalized (${\kappa}$, ${\mu}$)-manifolds with constant mean curvature by means of the scalar curvature of the ambient space and the mean curvature. In addition, we give a method for constructing infinity many examples of proper biharmonic submanifolds in a certain 3-dimensional generalized (${\kappa}$, ${\mu}$)-manifold. Moreover, we determine 3-dimensional generalized (${\kappa}$, ${\mu}$)-manifolds which admit a certain kind of proper biharmonic foliation.

A NOTE ON MIXED POLYNOMIALS AND NUMBERS

  • Mohd Ghayasuddin;Nabiullah Khan
    • Honam Mathematical Journal
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    • v.46 no.2
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    • pp.168-180
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    • 2024
  • The main object of this article is to propose a unified extension of Bernoulli, Euler and Genocchi polynomials by means of a new family of mixed polynomials whose generating function is given in terms of generalized Bessel function. We also discuss here some fundamental properties of our introduced mixed polynomials by making use of the series arrangement technique. Furthermore, some conclusions of our present study are also pointed out in the last section.

COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS FOR SPIRALLIKE FUNCTIONS DEFINED BY MEANS OF GENERALIZED ATTIYA-SRIVASTAVA OPERATOR

  • Yavuz, Tugba
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.703-712
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    • 2016
  • In this article, we derive a sharp estimates for the Taylor-Maclaurin coefficients of functions in some certain subclasses of spirallike functions which are defined by generalized Srivastava-Attiya operator. Several corollaries and consequences of the main result are also considered.

DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION

  • Hasanov, Anvar;Turaev, Mamasali;Choi, June-Sang
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.1-16
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    • 2010
  • By using the generalized operator method given by Burchnall and Chaundy in 1940, the authors present one-dimensional inverse pairs of symbolic operators. Many operator identities involving these pairs of symbolic operators are rst constructed. By means of these operator identities, 11 decomposition formulas for the generalized hypergeometric $_4F_3$ function are then given. Furthermore, the integral representations associated with generalized hypergeometric functions are also presented.

CORRELATION COEFFICIENT OF GENERALIZED INTUITIONISTIC FUZZY SETS BY STATISTICAL METHOD

  • PARK, JIN HAN;PARK, YONG BEOM;LIM, KI MOON
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.317-326
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    • 2006
  • Based on the geometrical representation of a generalized intuitionistic fuzzy set, we take into account all three parameters describing generalized intuitionistic fuzzy set and propose new methods to calculate the correlation coefficient for generalized intuitionistic fuzzy sets by means of mathematical statistics.

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APPROXIMATION OF LIPSCHITZ CLASS BY DEFERRED-GENERALIZED NÖRLUND (D𝛾𝛽.Npq) PRODUCT SUMMABILITY MEANS

  • JITENDRA KUMAR KUSHWAHA;LAXMI RATHOUR;LAKSHMI NARAYAN MISHRA;KRISHNA KUMAR
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.1057-1069
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    • 2023
  • In this paper, we have determined the degree of approximation of function belonging of Lipschitz class by using Deferred-Generalized Nörlund (D𝛾𝛽.Npq) means of Fourier series and conjugate series of Fourier series, where {pn} and {qn} is a non-increasing sequence. So that results of DEGER and BAYINDIR [23] become special cases of our results.