Andrej Liptaj

[20] viXra:2511.0138 submitted on 2025-11-27 12:45:45 , (123 unique-IP downloads)

Short Note: Trigonometric Interpolation for 2N Points

Authors: Andrej Liptaj
Category: Functions and Analysis

[19] viXra:2502.0090 replaced on 2025-12-12 11:44:02 , (287 unique-IP downloads)

A Story of a Function

Authors: Andrej Liptaj
Category: Functions and Analysis

[18] viXra:2410.0050 submitted on 2024-10-09 07:41:58 , (139 unique-IP downloads)

New Dirichlet Series Expansion with Recursive Coefficient Formula

Authors: Andrej Liptaj
Category: Number Theory

[17] viXra:2210.0030 replaced on 2022-11-22 15:30:00 , (436 unique-IP downloads)

Approximation by Power Series of Functions

Authors: Andrej Liptaj
Category: Functions and Analysis

[16] viXra:1912.0340 replaced on 2021-05-31 07:34:53, (627 unique-IP downloads)

Higher Accuracy Order in Differentiation-by-Integration

Authors: Andrej Liptaj
Category: General Mathematics

[15] viXra:1906.0163 replaced on 2020-01-15 08:23:19, (433 unique-IP downloads)

Maximal Generalization of Lanczos' Derivative Using One-Dimensional Integrals

Authors: Andrej Liptaj
Category: Functions and Analysis

[14] viXra:1804.0264 replaced on 2018-04-23 04:22:49, (347 unique-IP downloads)

On Expanding a Function Into Raw Moment Series

Authors: Andrej Liptaj
Category: Functions and Analysis

[13] viXra:1803.0001 replaced on 2018-03-05 04:58:02, (574 unique-IP downloads)

Expansion Into Bernoulli Polynomials Based on Matching Definite Integrals of Derivatives

Authors: Andrej Liptaj
Category: Functions and Analysis

[12] viXra:1709.0393 submitted on 2017-09-26 07:41:30, (637 unique-IP downloads)

Neumann Series Seen as Expansion Into Bessel Functions J_{n} Based on Derivative Matching.

Authors: Andrej Liptaj
Category: Functions and Analysis

[11] viXra:1706.0210 replaced on 2019-07-02 03:40:08, (493 unique-IP downloads)

Statistic-Based Approach for Highest Precision Numerical Differentiation

Authors: Andrej Liptaj
Category: General Mathematics

[10] viXra:1705.0249 submitted on 2017-05-16 08:26:20, (231 unique-IP downloads)

Decomposition of Exponential Function Into Derivative Ring. Derivative Ring: Suitable Basis for Derivative-Matching Approximations.

Authors: Andrej Liptaj
Category: Functions and Analysis

[9] viXra:1704.0241 submitted on 2017-04-19 11:32:41, (600 unique-IP downloads)

Trigonometric Interpolation Based on Summation of Fourier Series F_{i}^{\delta} with Data-Related Delta-Function Property F_{i}^{\delta}\left(x_{j}\right)=y_{j}\delta_{ij} (Analogy to Lagrange Form of Interpolation Polynomial)

Authors: Andrej Liptaj
Category: General Mathematics

[8] viXra:1704.0149 submitted on 2017-04-12 07:47:23, (253 unique-IP downloads)

Progressive Fourier (Or Trigonometric) Interpolation

Authors: Andrej Liptaj
Category: General Mathematics

[7] viXra:1704.0124 submitted on 2017-04-11 03:37:54, (210 unique-IP downloads)

Mathematical Beauty with Prime Numbers: Elegant Sieve-Based Primality Test Formula Constructed with Periodic Functions

Authors: Andrej Liptaj
Category: General Mathematics

[6] viXra:1704.0122 submitted on 2017-04-10 07:38:09, (253 unique-IP downloads)

Unsuccessful Attempt to Speed-up Numerical Integration of Functions with Peaks and Some Related Topics

Authors: Andrej Liptaj
Category: General Mathematics

[5] viXra:1704.0066 submitted on 2017-04-06 04:00:32, (2318 unique-IP downloads)

Cosine Interpolation, Sine Interpolation, Interpolation of Arbitrary Series with Multiplicative Coefficients

Authors: Andrej Liptaj
Category: General Mathematics

[4] viXra:1704.0048 submitted on 2017-04-05 03:42:02, (168 unique-IP downloads)

Short Notice on (Exact) Trigonometric Interpolation.

Authors: Andrej Liptaj
Category: General Mathematics

[3] viXra:1704.0030 submitted on 2017-04-04 03:53:37, (352 unique-IP downloads)

Examples of Approximations by Series Based on Derivatives Matching

Authors: Andrej Liptaj
Category: Functions and Analysis

[2] viXra:1704.0018 submitted on 2017-04-03 04:36:13, (185 unique-IP downloads)

An Alternative Approach of Evaluating the Validity of Perturbative Calculations with Respect to Convergence of Power Series Based on Polynomials for the Inverse Function

Authors: Andrej Liptaj
Category: Mathematical Physics

[1] viXra:1703.0295 submitted on 2017-03-31 06:45:36, (2327 unique-IP downloads)

Higher Order Derivatives of the Inverse Function

Authors: Andrej Liptaj
Category: Functions and Analysis