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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
AbstractIn this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established. Many inequalities of Hermite–Hadamard type are also taken into account for the product and quotient of multiplicative harmonic convex functions.
Serap Özcan, Saad Ihsan Butt
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STRUCTURE IN THE 3D GALAXY DISTRIBUTION: III. FOURIER TRANSFORMING THE UNIVERSE: PHASE AND POWER SPECTRA. [PDF]
We demonstrate the effectiveness of a relatively straightforward analysis of the complex 3D Fourier transform of galaxy coordinates derived from redshift surveys. Numerical demonstrations of this approach are carried out on a volume-limited sample of the
Scargle JD, Way MJ, Gazis PR.
europepmc +2 more sources
The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions [PDF]
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric ...
Ming-bao Sun +3 more
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Galton-Watson trees with vanishing martingale limit [PDF]
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, agrees up to generation $K$ with a regular $\mu$-ary tree, where $\mu$ is the essential minimum of the offspring distribution and the random ...
Berestycki, Nathanael +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chu, Yu-Ming +2 more
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Analytic non-abelian Hodge theory [PDF]
The pro-algebraic fundamental group can be understood as a completion with respect to finite-dimensional non-commutative algebras. We introduce finer invariants by looking at completions with respect to Banach and C*-algebras, from which we can recover ...
Corlette +10 more
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Infinite dimensional moment problem: open questions and applications
Infinite dimensional moment problems have a long history in diverse applied areas dealing with the analysis of complex systems but progress is hindered by the lack of a general understanding of the mathematical structure behind them.
Infusino, Maria, Kuhlmann, Salma
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Hermite–Hadamard-type inequalities for multiplicative harmonic $s$-convex functions
UDC 517.5 We study the concept of multiplicative harmonic $s$-convex functions and establish Hermite–Hadamard integral inequalities for this class of functions. Furthermore, we derive a set of Hermite–Hadamard-type inequalities applicable to the product and quotient of multiplicative harmonic $s$-convex functions.
Özcan, Serap +2 more
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Critical behavior in spherical and hyperbolic spaces [PDF]
We study the effects of curved background geometries on the critical behavior of scalar field theory. In particular we concentrate on two maximally symmetric spaces: $d$-dimensional spheres and hyperboloids.
Benedetti, Dario
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A conditioning principle for Galton-Watson trees [PDF]
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, converges as $\eps\downarrow 0$ in law to the regular $\mu$-ary tree, where $\mu$ is the essential minimum of the offspring distribution.
Berestycki, Nathanael +2 more
core +1 more source

