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Transactions of the American Mathematical Society, 1972 In §2 a mapping of nonnegative functions is defined to be an integral if it has the following properties: I ( f ) ⩾ 0 , I ( f ) > ∞ I(f) \geqslant 0,I(f) > \infty for some f f , if f ⩽ g f ...
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Integrals involvingE-functions [PDF]
Mathematische Zeitschrift, 1958 1. Introductory. The following two integrals will be established in § 2.If m is a positive integer, if p ≧ q + 1 and if R(ar+kt) > 0 (r = 1, 2,…, p, t = 1, 2,…, m),where co is 1 or e±in according as m is even or odd, the dash denotes that the factor sin (k,–k,)π does not appear and the asterisk that the parameter kt–kt + 1 is omitted.
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New Covariant Density Functionals of Nuclear Matter for Compact Star Simulations
The Astrophysical Journal, 2023 We generate three families of extended covariant density functionals of nuclear matter that have varying slope of symmetry energy and skewness at nuclear saturation density, but otherwise share the same basic parameters (symmetry energy, compressibility,
Jia-Jie Li, Armen Sedrakian
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Minimization of nonsmooth integral functionals
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou +1 more
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Weighted Integral Inequalities for Harmonic Convex Functions in Connection with Fejér’s Result
Axioms, 2022 In this study, on the subject of harmonic convex functions, we introduce some new functionals linked with weighted integral inequalities for harmonic convex functions. In addition, certain new inequalities of the Fejér type are discovered.
Muhammad Amer Latif
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Conditional generalized analytic Feynman integrals and a generalized integral equation
International Journal of Mathematics and Mathematical Sciences, 2000 We use a generalized Brownian motion process to define a generalized Feynman integral and a conditional generalized Feynman integral. We then establish the existence of these integrals for various functionals.
Seung Jun Chang +2 more
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Journal of Inequalities and Applications, 2020 The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik +3 more
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Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
Nonlinear Analysis, 2023 In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded.
Yufei Chen, Qihuai Liu
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A Modified Analytic Function Space Feynman Integral and Its Applications
Journal of Function Spaces, 2014 We analyze the generalized analytic function space Feynman integral and then defined a modified generalized analytic function space Feynman integral to explain the physical circumstances.
Seung Jun Chang +2 more
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On Some Constrained Optimization Problems
Mathematics, 2022 By using appropriate methods of variational analysis, the necessary conditions of optimality are established for new classes of constrained optimization problems involving multiple and curvilinear integral functionals.
Savin Treanţă +3 more
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