Results 31 to 40 of about 2,294 (78)
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We study the notions of strongly convex function as well as F‐strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions. A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance.
Ying-Qing Song +4 more
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Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley +1 more source
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established.
Jiqiang Jiang +3 more
wiley +1 more source
On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales
, 2017 We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some basic properties of the HK delta integral for Riesz-space-valued functions are proved.
Brown, André EX +11 more
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Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]
, 2007 Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core
Sequential Detection of Three-Dimensional Signals under Dependent Noise
, 2017 We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and climatic data as
Prause, Annabel, Steland, Ansgar
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An extension of Hewitt's inversion formula and its application to fluctuation theory [PDF]
, 2015 We analyze fluctuations of random walks with generally distributed increments. Integral representations for key performance measures are obtained by extending an inversion theorem of Hewitt [11] for Laplace-Stieltjes transforms. Another important part of
Badila, E. S.
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, 2017 The primary aim of this chapter is, commemorating the 150th anniversary of Riemann's death, to explain how the idea of {\it Riemann sum} is linked to other branches of mathematics.
BN Delone +11 more
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Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]
, 2005 Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core
General Nonlocal Probability of Arbitrary Order. [PDF]
Entropy (Basel), 2023 Tarasov VE.
europepmc +1 more source