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Original Articles

On Mellin convolution operators: a direct approach to the asymptotic formulae

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Pages 182-195 | Received 28 Jan 2013, Accepted 31 Jul 2013, Published online: 19 Sep 2013

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Firat Özsaraç, Ana Maria Acu, Ali Aral & Ioan Raşa. (2023) On the Modification of Mellin Convolution Operator and Its Associated Information Potential. Numerical Functional Analysis and Optimization 44:11, pages 1194-1208.
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Sadettin Kursun, Ali Aral & Tuncer Acar. (2024) Riemann–Liouville fractional integral type exponential sampling Kantorovich series. Expert Systems with Applications 238, pages 122350.
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Tuncer Acar, Abdulkadir Eke & Sadettin Kursun. (2023) Bivariate generalized Kantorovich-type exponential sampling series. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118:1.
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Ali ARAL. (2023) On a new approach in the space of measurable functions. Constructive Mathematical Analysis, pages 237-248.
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Hüseyi̇n Irmak & Tolga Han Açikgöz. (2023) Notes on Various Transforms Identified by Some Special Functions with Complex (or Real) Parameters and Some of Related Implications. Engineering World 5, pages 108-118.
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Sadettin Kursun, Ali Aral & Tuncer Acar. (2023) Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series. Mediterranean Journal of Mathematics 20:5.
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Prashant Kumar, A. Sathish Kumar & Shivam Bajpeyi. (2023) On bivariate Kantorovich exponential sampling series. Mathematical Methods in the Applied Sciences.
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Dumitru Popa. (2022) The Complete Asymptotic Evaluation for General Modified Mellin–Gauss–Weierstrass Convolution Operators. Results in Mathematics 78:1.
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Dumitru Popa. (2022) The Complete Asymptotic Evaluation for Mellin Convolution Operators. Constructive Approximation.
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A. Sathish Kumar, Prashant Kumar & P. Devaraj. (2022) Approximation of discontinuous functions by Kantorovich exponential sampling series. Analysis and Mathematical Physics 12:3.
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A. Aral, H. Erbay & B. Yılmaz. (2022) On Modified Mellin–Gauss–Weierstrass Convolution Operators. Results in Mathematics 77:3.
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Ali Aral, Tuncer Acar & Sadettin Kursun. (2022) Generalized Kantorovich forms of exponential sampling series. Analysis and Mathematical Physics 12:2.
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Sathish Kumar Angamuthu, Prashant Kumar & Devaraj Ponnaian. (2021) Approximation of Discontinuous Signals by Exponential Sampling Series. Results in Mathematics 77:1.
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. (2022) Asymptotic evaluations for multivariate Mellin convolution operators. Communications on Pure and Applied Analysis 21:12, pages 3985-4011.
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Shivam Bajpeyi & A. Sathish Kumar. (2021) Approximation by exponential sampling type neural network operators. Analysis and Mathematical Physics 11:3.
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Shivam Bajpeyi & A. Sathish Kumar. 2021. Mathematical Analysis and Computing. Mathematical Analysis and Computing 561 571 .
Sathish Kumar Angamuthu & Shivam Bajpeyi. (2020) Direct and Inverse Results for Kantorovich Type Exponential Sampling Series. Results in Mathematics 75:3.
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Simona Balsamo & Ilaria Mantellini. (2019) On Linear Combinations of General Exponential Sampling Series. Results in Mathematics 74:4.
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Carlo Bardaro, Loris Faina & Ilaria Mantellini. (2017) A generalization of the exponential sampling series and its approximation properties. Mathematica Slovaca 67:6, pages 1481-1496.
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Antonio Boccuto & Xenofon Dimitriou. (2016) Korovkin-type Theorems for Abstract Modular Convergence. Results in Mathematics 69:3-4, pages 477-495.
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Carlo Bardaro, Paul L. Butzer & Ilaria Mantellini. (2015) The Foundations of Fractional Calculus in the Mellin Transform Setting with Applications. Journal of Fourier Analysis and Applications 21:5, pages 961-1017.
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Laura Angeloni & Gianluca Vinti. (2015) Approximation in variation for Mellin integral operators. PAMM 15:1, pages 649-650.
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Antonio Boccuto, Domenico Candeloro & Anna Rita Sambucini. (2014) Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Journal of Mathematical Analysis and Applications 419:2, pages 818-838.
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Antonio Boccuto & Xenofon Dimitriou. (2014) Rates of approximation for general sampling-type operators in the setting of filter convergence. Applied Mathematics and Computation 229, pages 214-226.
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