Results 51 to 60 of about 196,126 (161)
Certain integrals involving logarithmic and exponential functions
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we have evaluated the integrals∫0∞xn−1lnxexp(−ax−bx−1)dxand∫0∞xn−2(ax2−b)(lnx)2exp(−ax−bx−1)dxfor all n=1,2,3,…. Some applications of the results are discussed and an open problem is posed.
M. Aslam Chaudhry, M. Ahmad
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Some trace inequalities for exponential and logarithmic functions [PDF]
Bulletin of Mathematical Sciences, 2019 Consider a function F(X,Y ) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute F(X,Y ) = XpYq. Our first main result gives conditions on F such that Tr[X log(F(Z,Y ))] ≤Tr[X(p log X + q log Y )] for all ...
Eric A. Carlen, Elliott H. Lieb
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Construction of a family of non-stationary biorthogonal wavelets
Journal of Inequalities and Applications, 2019 The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members.
Baoxing Zhang +3 more
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
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Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity
Journal of Applied Mathematics, 2013 We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B-p,r-invex functions with respect to η and b. We introduce a new concept of nonconvex functions, called exponential B-p,r-invex functions.
Shun-Chin Ho
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Russian Journal of Economics and Law, 2014 RETRACTION:Date of retraction: 13.03.2017Reason for retraction: Duplicate publication in several editions Additional information about the causes of retraction:The article "Changing sentences basing on the research of mathematical functions of criminal ...
S. G. Ol'kov
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The second coefficient of a function with all derivatives univalent
International Journal of Mathematics and Mathematical Sciences, 1982 We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.
A. Sathaye, S. M. Shah
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Exponential type convexity and some related inequalities
Journal of Inequalities and Applications, 2020 In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
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Computation of the Golden Matrix Exponential Functions of Special Matrices
Journal of New TheoryComputation of the matrix exponential functions is important in solving various scientific and engineering problems due to their active role in solving differential equations.
Mustafa Bahşi, Efruz Özlem Mersin
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From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]
J Math Anal Appl, 2021 Qi F, Guo BN.
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