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Mathematics Commons

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2022

Mathematical Analysis

Articles 1 - 6 of 6

Full-Text Articles in Mathematics

Various Series Concerning The Zeta Function, Vuk Stojiljkovic May 2022

Various Series Concerning The Zeta Function, Vuk Stojiljkovic

International Journal of Emerging Multidisciplinaries: Mathematics

In this paper we evaluated various series concerning the ζ function. We also have shown how our Lemma can be paired up with different generating functions to produce more series as a consequence.


On Inequalities Of Trapezium Type Via Fractional Integrals Operators, Muhammad Muddassar, Tahira Jabeen, Hira Perveen May 2022

On Inequalities Of Trapezium Type Via Fractional Integrals Operators, Muhammad Muddassar, Tahira Jabeen, Hira Perveen

International Journal of Emerging Multidisciplinaries: Mathematics

In this article, we get solutions of some integral inequalities of Hermite-Hadamard type and using the approach of ($\psi$,$h$)-Convex function by the way of Riemann-Liouville Fractional integrals and Katugampola Fractional integral operators.


Inequalities For Riemann - Stieltjes Integral, Mohammad Alomari Jan 2022

Inequalities For Riemann - Stieltjes Integral, Mohammad Alomari

International Journal of Emerging Multidisciplinaries: Mathematics

Two new inequalities for Riemann--Stieltjes integral are introduced for functions of bounded $p$-variation and H\"{o}lder continuous integrators.


Bernstein And Bernstein-Like Inequalities For Modulation Spaces, Sa'ud Al-Sa'di, Salti Samarah Jan 2022

Bernstein And Bernstein-Like Inequalities For Modulation Spaces, Sa'ud Al-Sa'di, Salti Samarah

International Journal of Emerging Multidisciplinaries: Mathematics

It is shown that the modulation spaces Mwp can be characterized by the approximation behavior of their elements using Local Fourier bases. In analogy to the Local Fourier bases, we show that the modulation spaces can also be characterized by the approximation behavior of their elements using Gabor frames. We derive direct and inverse approximation theorems that describe the best approximation by linear combinations of N terms of a given function using its modulates and translates.


A New Companion Inequality Of Ostrowski's Type With Applications To P.D.F.'S, Izharul Haq Jan 2022

A New Companion Inequality Of Ostrowski's Type With Applications To P.D.F.'S, Izharul Haq

International Journal of Emerging Multidisciplinaries: Mathematics

In this paper, variant inequalities of Ostrowski’s type for absolutely continuous mappings whose derivatives are monotonic, belongs to L1[a, b], Lq[a, b], (q > 1) and L∞[a, b] are established.


A Stimulus Generalization Of Double Integral Inequalities By The Way Of Fractional Integrals, Muhammad Muddassar, Muhammad Iqbal, Tahira Jabeen, Ghulam Haider Jan 2022

A Stimulus Generalization Of Double Integral Inequalities By The Way Of Fractional Integrals, Muhammad Muddassar, Muhammad Iqbal, Tahira Jabeen, Ghulam Haider

International Journal of Emerging Multidisciplinaries: Mathematics

This study presents some of the latest results annexed to Hermite Hadamard inequality by utilizing double integrals by the way of Riemann-Liouville fractional integrals. Another aim of this article is to generalize some of the recent developments on Hermite Hadamard's type inequalities.