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Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 15
In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions... 
Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | 42A16 | Fourier series | 11B68 | Partial Differential Equations | sums of finite products of Bernoulli functions | MATHEMATICS | MATHEMATICS, APPLIED | Fourier analysis | Theorems (Mathematics) | Usage | Sums
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 17
Journal Article
MATHEMATICS, ISSN 2227-7390, 09/2019, Volume 7, Issue 9, p. 833
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series... 
SUMMATION FORMULAS | MATHEMATICS | SERIES | closed form | ArcTan and ArcTanh functions | Catalan's constant | HARMONIC SUMS | Euler sums | Trigamma function | integral representation | partial fractions | FAMILY | Catalan’s constant
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 07/2016, Volume 636, pp. 66 - 76
.... Then the distance and rank aggregation problems can be solved efficiently in almost linear time. A chain sum order is complementary to a bucket order and consists of a set of disjoint total orders... 
Ranking | Distance measures | [formula omitted]-hardness | Fixed-parameter complexity | Total and partial orders | NP-hardness | NP-HARD | TOURNAMENTS | COMPLEXITY | COMPUTER SCIENCE, THEORY & METHODS | Online searching | Rankings | Internet/Web search services | Database searching | Analysis | Hardness | Equivalence | Searching | Chains | Polynomials | Agglomeration | Internet | Buckets
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 10/2011, Volume 37, Issue 1, pp. 421 - 442
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 2018, Volume 2018, Issue 1, pp. 1 - 14
..., we get the almost sure central limit theorem for the products of the some partial sums (∏i=1kSk,i(k−1)nμn)μβVk\(({\frac{\prod_{i=1}^{k}S_{k,i}}{(k-1)^{n}\mu ^{n}} )^{\frac{\mu}{\beta V_{k}}} }\), where β>0\(\beta>0... 
Almost sure central limit theorem | Mixing sequence | Products of the some partial sums | Self-normalized | Random variables
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 12/2019, Volume 25, Issue 6, pp. 3174 - 3183
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 08/2013, Volume 49, Issue 3, pp. 873 - 884
Let S-n((2)) denote the iterated partial sums. That is, S-n((2)) = S-1 + S-2 + ... + S-n, where S-i = X-1 + X-2 + ... + X-i. Assuming X-1, X-2... 
Persistence | First passage time | One-sided probability | Iterated partial sums | Lower tail probability | Random walk | STATISTICS & PROBABILITY | Mathematics - Probability | 60F10 | 60G50
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2014, Volume 264, pp. 236 - 260
...–Lerch sums as partial theta functions. This notion can be used to relate identities involving partial theta functions with identities involving Appell–Lerch sums... 
Appell–Lerch sums | Mock theta functions | Hecke-type double sums | Partial theta functions | Indefinite theta series | Appell-Lerch sums | MATHEMATICS | ROGERS-RAMANUJAN IDENTITIES | HARD-HEXAGON MODEL | LOST NOTEBOOK | Mathematics - Number Theory
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 06/2015, Volume 91, Issue 3, pp. 693 - 708
This paper proves non‐trivial bounds for short mixed character sums by introducing estimates for Vinogradov's mean value theorem into a version of the Burgess... 
MATHEMATICS | PARTIAL GAUSSIAN SUMS | Theorems | Mathematical analysis | Estimates | Sums | Mathematics - Number Theory
Journal Article
Constructive Approximation, ISSN 0176-4276, 2/2019, Volume 49, Issue 1, pp. 59 - 101
... $$(n_j)$$ ( n j ) be such that the almost everywhere relation $$\frac{1}{N}\sum _{j=1}^N S_{n_j}f \rightarrow f$$ 1 N ∑ j = 1 N S n j f → f is fulfilled for each integrable function f... 
Cesàro means | a.e. convergence | 42A24 | Zalcwasser’s problem | Numerical Analysis | Analysis | Subsequences of partial sums | Mathematics | Trigonometric Fourier series | MATHEMATICS | Cesaro means | CONVERGENCE | Zalcwasser's problem | SUMMABILITY
Journal Article
The Annals of probability, ISSN 0091-1798, 5/2014, Volume 42, Issue 3, pp. 1121 - 1160
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 07/2017, Volume 260, Issue 2, pp. 665 - 679
•A partial preference model based on the weighted sum is presented and studied.•A generic method based on cones computes the preferred points... 
Partial preference information | Multiple objective programming | Weighted sum | CRITERIA | POTENTIAL OPTIMALITY | RANKING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DOMINANCE | DECISION-MAKING | LINEAR PARTIAL INFORMATION | COEFFICIENTS | VALUES | PROBABILITIES | Problem solving | Mathematical optimization | Analysis | Algorithms | Computer Science
Journal Article
Journal of Integer Sequences, 10/2013, Volume 16, Issue 9
Journal Article
Econometric theory, ISSN 0266-4666, 02/2014, Volume 30, Issue 1, pp. 252 - 284
Journal Article
Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 07/2017, Volume 25, Issue 2, pp. 123 - 133
This article deals with the ratio of normalized Mittag-Leffler function E (z) and its sequence of partial sums (E (z... 
33E12 | Analytic functions | partial sums | Mittag-Leffler function | 30A10 | univalent function | Partial sums | Univalent function | MATHEMATICS | FUNCTION E-ALPHA(X) | MATHEMATICS, APPLIED | CONVEX-FUNCTIONS | ANALYTIC-FUNCTIONS
Journal Article
Stochastics, ISSN 1744-2508, 08/2016, Volume 88, Issue 6, pp. 803 - 812
.... Under some suitable conditions, the author shows that a universal version of almost sure central limit theorem for products of sums of partial sums holds under the assumptions that the mixing... 
mixing sequence | logarithmic averages | Almost sure central limit theorem | products of sums of partial sums | Ø-mixing sequence | MATHEMATICS, APPLIED | phi-mixing sequence | STATISTICS & PROBABILITY | EXTENSION | Theorems | Probability theory | Images | Randomness | Random variables | Coefficients | Coefficient of variation | Sums
Journal Article
The Annals of probability, ISSN 0091-1798, 9/2013, Volume 41, Issue 5, pp. 3606 - 3616
Journal Article
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