Some applications of λ-method for obtaining approximations in filter design

Banjac, Bojan; Nenezic, Marija; Malešević, Branko

doi:10.1109/telfor.2015.7377493

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…Our approach makes a good basis for the systematic proving of trigonometric inequalities. Developing general, automated-oriented methods for proving of trigonometric inequalities is an area our continuing interest [11], [12]- [14], [16]- [19], [21]- [29] and [30].…”

Section: Resultsmentioning

confidence: 99%

Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities

Malešević¹,

Lutovac²,

Rašajski³

et al. 2020

Trigonometric Sums and Their Applications

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Section: Resultsmentioning

confidence: 99%

Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities

Malešević¹,

Lutovac²,

Rašajski³

et al. 2020

Trigonometric Sums and Their Applications

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“…Results of these papers can be further organized and made more precise using Theorem 4 so we get the order among the functions occurring within these inequalities. Similar to double-sided TAYLOR's approximations, in papers [12], [14], [15], [16], [19], [20], [21], [28], [29] i [30] the finite expansions are used in the proofs of some mixedtrigonometric polynomial inequalities, as well as in some inequalities which can be reduced to mixed-trigonometric polynomial inequalities.…”

Section: Resultsmentioning

confidence: 99%

Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities

Malešević

Lutovac

Rašajski

et al. 2019

Differential and Integral Inequalities

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In this paper the double-sided TAYLOR's approximations are studied. A short proof of a well-known theorem on the double-sided TAYLOR's approximations is introduced. Also, two new theorems are proved regarding the monotonicity of such approximations. Then we present some new applications of the double-sided TAYLOR's approximations in the theory of analytic inequalities.Similarly, the first TAYLOR's approximation in the left neighborhood of b is defined by:

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“…Consider now the left-hand side of inequality (5). The corresponding real analytical function f 2 (x) = −ax 2 − log cos x : 0, π 2 −→ R has the following power series expansion:…”

Section: Generalization Of Statement 11mentioning

confidence: 99%

“…Papers [5]- [18] have recently considered various methods for proving mixed trigonometric polynomial inequalities of the form:…”

Section: Introductionmentioning

confidence: 99%

One method for proving some classes of exponential analytical inequalities

Malešević¹,

Lutovac²,

Banjac³

2018

Filomat

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In this paper we propose a method for proving some exponential inequalities based on power series expansion and analysis of derivations of the corresponding functions. Our approach provides a simple proof and generates a new class of appropriate inequalities, as well as allows direct establishment of the dependence between (the exponent of) some functions that occur as bounds of the approximation and the interval in which the corresponding inequality holds true.

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Some applications of λ-method for obtaining approximations in filter design

Cited by 4 publications

References 4 publications

Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities

Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities

Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities

One method for proving some classes of exponential analytical inequalities

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