Dr. Metin Turgay

About

I was born in Antalya in 1995. After completing high school, I began my undergraduate studies in the Department of Mathematics at Dokuz Eylül University. The mathematics program I pursued following my English preparatory year played a significant role in shaping my academic interests. As my interest in computers grew, I enrolled in a minor program in the Department of Computer Science during my sophomore year, continuing my education at the intersection of these two disciplines. During this process, I realized that mathematics and computer science form a powerful, complementary whole, and I graduated from both programs in 2018. After completing my undergraduate education, I decided to pursue an academic career and began a master's program in the Department of Mathematics at the Institute of Natural Sciences at Dokuz Eylül University. During the second semester of my master's program, I began working as a research assistant at Selçuk University and moved to Konya in 2019. With this move, I focused my research on Analysis and Function Theory. After completing my master's degree in 2021, I began my doctoral studies. As of April 2025, I have successfully completed my doctoral studies and am currently continuing my research on sampling operators and image processing applications. My research interests are based on an interdisciplinary approach that combines functional analysis, numerical methods, and image processing techniques.

Education

2021–2025 Mathematics (Ph.D.) — Selçuk University
2018–2021 Mathematics (Master's) — Dokuz Eylül University
2015–2018 Computer Science (Minor) — Dokuz Eylül University
2013–2018 Mathematics (Bachelor's) — Dokuz Eylül University

Skills

Programming: C/C++, HTML, C#, Java, CSS, SQL, Android Studio
Math Software: MiKTeX, Mathematica, MATLAB

Publications

2026 Approximation results in Orlicz spaces by modified sampling Kantorovich operators. Metin Turgay — Demonstratio Mathematica, Vol. 59, Article ID: 20250222
2026 Approximation by Iterated Boolean Sums of Sampling Operators. Tuncer Acar, Borislav Radkov Draganov, Metin Turgay — Periodica Mathematica Hungarica
2026 Bivariate Sampling Kantorovich series in Weighted Spaces of Functions. Metin Turgay — GAZI UNIVERSITY JOURNAL OF SCIENCE, Vol. 39, 1120-1134
2026 Bivariate Modified Generalized Sampling Series and Approximation Properties. Samet Değle, Metin Turgay, Tuncer Acar — submitted
2026 Convergence Results of Hermite-Durrmeyer Type Sampling Operators in Lp-Spaces. Metin Turgay, Sadettin Kursun — submitted
2026 Approximation by Steklov Neural Network Operators. Şerife Nur Karaman, Metin Turgay, Tuncer Acar — submitted
2026 A Transference Principle for Sampling Operators on Finite Intervals. Metin Turgay, Borislav Radkov Draganov, Tuncer Acar — submitted
2025 Modified sampling Kantorovich operators in weighted spaces of functions. Metin Turgay, Tuncer Acar — Filomat, Vol. 39, 8477-8491
2025 A New Generalization of Bivariate Sampling Kantorovich Operators and Applications to Image Processing. Metin Turgay, Tuncer Acar — Mathematical Methods in the Applied Sciences, Vol. 48, 15413-15432
2024 Approximation by Modified Generalized Sampling Series. Metin Turgay, Tuncer Acar — Mediterranean Journal of Mathematics, Vol. 21, Article ID: 107
2023 Multidimensional Kantorovich modifications of exponential sampling series. Tuncer Acar, Sadettin Kursun, Metin Turgay — Quaestiones Mathematicae, Vol. 46, 57-72
2023 Approximation by bivariate generalized sampling series in weighted spaces of functions. Tuncer Acar, Metin Turgay — Dolomites Research Notes on Approximation, Vol. 16(2), 11-22
2023 Approximation properties of bivariate sampling Durrmeyer series in weighted spaces of functions. Dilek Özer, Metin Turgay, Tuncer Acar — Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16
2022 Approximation by sampling Kantorovich series in weighted spaces of functions. Tuncer Acar, Osman Alagöz, Ali Aral, Danilo Costarelli, Metin Turgay, Gianluca Vinti — Turkish Journal of Mathematics, Vol. 46, 2663-2676
2022 Convergence of generalized sampling series in weighted spaces. Tuncer Acar, Osman Alagöz, Ali Aral, Danilo Costarelli, Metin Turgay, Gianluca Vinti — Demonstratio Mathematica, Vol. 55, 153-162
2022 Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions. Osman Alagoz, Metin Turgay, Tuncer Acar, Merve Parlak — Numerical Functional Analysis and Optimization, Vol. 43, 1223-1239
2021 Approximation properties of multivariate exponential sampling series. Sadettin Kurşun, Metin Turgay, Osman Alagöz, Tuncer Acar — Carpathian Mathematical Publications, Vol. 13, 666-675

Conferences & Presentations

July 2026 4th International Conference: Constructive Mathematical Analysis — Co-Chair — Konya, Turkey
July 2025 3rd International Conference: Constructive Mathematical Analysis — Member of Organizing Committee — Konya, Turkey
January 2025 Modified Sampling Type Operators and Their Applications to Image Processing — Metin Turgay, Tuncer Acar — Uninettuno Sezione Di Matematica Luciano Modica Seminario — Roma, Italy
May 2025 Simultaneous approximation by sampling type series in weighted spaces of functions — Metin Turgay — Information Technologies and Computer Modelling 2025 — Ivano-Frankivsk, Ukraine
July 2025 New Generalization of Sampling type Series and Applications to Image Processing — Metin Turgay, Tuncer Acar — 3rd International Conference: Constructive Mathematical Analysis — Konya, Turkey
August 2025 Comparisons of a new algorithm with existing one in image processing — Metin Turgay — Frontiers in Modern Mathematical Theories of Analysis and Approximation with Applications — Bangkok, Thailand
August 2025 Image Processing by Sampling type Series — Metin Turgay, Tuncer Acar — The Asian Mathematical Conference — Chiang Mai, Thailand
April 2024 Approximation by New Type of Sampling Operators — Metin Turgay, Tuncer Acar — International Mathematics and Statistics Student Research Symposium — New York, USA
May 2024 Approximation Results of Modified Generalized Sampling Series — Metin Turgay, Tuncer Acar — A two days on Approximation Theory and Applications — Roma, Italy
September 2024 Modular Convergence of New type of Sampling Kantorovich Series — Metin Turgay, Tuncer Acar — 3rd International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences — İstanbul, Turkey
September 2024 Saturation Order of Exponential Sampling Series — Tuncer Acar, Sadettin Kurşun, Metin Turgay — 3rd International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences — İstanbul, Turkey
September 2024 Approximation Properties of Kantorovich Type Sampling Series in Weighted Spaces of Functions — Metin Turgay — Western Balkan Conference on Mathematics and Applications — Tiran, Albania
December 2024 Approximation by New Type of Sampling Series — Metin Turgay, Tuncer Acar — Workshop on Approximation Methods and Applications — Bari, Italy
June 2023 2nd International E-Conference on Mathematical and Statistical Sciences: A Selçuk Meeting — Member of Organizing Committee — Konya, Turkey
July 2023 2nd International Workshop: Constructive Mathematical Analysis — Member of Organizing Committee — Konya, Turkey
April 2023 Bivariate Sampling Type Operators in Weighted Spaces of functions — Tuncer Acar, Metin Turgay — International Mathematics and Statistics Student Research Symposium — New York, USA
May 2023 Sampling Type Operators in Weighted Spaces of Functions — Metin Turgay, Tuncer Acar — University of Jaen Department of Mathematics Seminars — Jaen, Spain
July 2023 Sampling type Series: Approximation via Riemann-Liouville Fractional Integral — Metin Turgay, Tuncer Acar, Ali Aral — 2nd International Workshop: Constructive Mathematical Analysis — Konya, Turkey
September 2023 Recent Results on Approximation by Fractional Integral type Sampling Series — Metin Turgay — XIII Annual International Conference of the Georgian Mathematical Union — Batumi, Georgia
October 2022 International E-Conference on Mathematical and Statistical Sciences: A Selçuk Meeting — Member of Organizing Committee — Konya, Turkey
February 2022 Approximation by Sampling Kantorovich Series in Weighted Space of Functions — Metin Turgay, Tuncer Acar, Ali Aral, Osman Alagöz, Gianluca Vinti, Danilo Costarelli — Turkish Journal of Mathematics Sempozyumu — Ankara, Turkey
February 2022 Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions — Osman Alagöz, Metin Turgay, Tuncer Acar — Turkish Journal of Mathematics Sempozyumu — Ankara, Turkey
July 2022 Weighted Approximation for the Families of Sampling Operators — Tuncer Acar, Osman Alagöz, Ali Aral, Danilo Costarelli, Metin Turgay, Gianluca Vinti — Functional Analysis, Approximation Theory and Numerical Analysis — Matera, Italy
July 2022 Weighted Approximation by Bivariate Generalized Sampling Series — Metin Turgay, Tuncer Acar — Functional Analysis, Approximation Theory and Numerical Analysis — Matera, Italy
October 2022 Convergence of a Family of Sampling-Durrmeyer Operators in Weighted Spaces of Functions — Dilek Özer, Metin Turgay, Tuncer Acar — International E-Conference on Mathematical and Statistical Sciences: A Selçuk Meeting — Konya, Turkey
March 2021 Approximation properties of multivariate sampling type operators — Sadettin Kurşun, Metin Turgay, Tuncer Acar — International Online Workshop on Approximation Theory — Kiev, Ukraine
March 2021 Kantorovich modifications of sampling type operators for multivalued functions — Metin Turgay, Sadettin Kurşun, Tuncer Acar — International Online Workshop on Approximation Theory — Kiev, Ukraine
September 2021 Convergence of Generalized Sampling Series in Some New Function Spaces — Metin Turgay, Tuncer Acar, Osman Alagöz — 8th International Conference on Recent Advances in Pure and Applied Mathematics — Muğla, Turkey
December 2020 Convergence properties of exponential sampling Kantorovich series for multivalued functions — Metin Turgay, Sadettin Kurşun, Tuncer Acar — First Online Conference on Modern Fractional Calculus and its Applications — İstanbul, Turkey
December 2020 Multidimensional Mellin-Taylor Formula and Applications to Voronovskaya Type Theorem — Sadettin Kurşun, Metin Turgay, Tuncer Acar — First Online Conference on Modern Fractional Calculus and its Applications — İstanbul, Turkey

Projects

2026 · In Process Weighted approximations by exponential sampling series and their applications — TÜBİTAK 1001 Projesi — Researcher. Budget: 1,600,000 TRY.
2025 · In Process Technical specifications and applications of sampling-type series — TÜBİTAK 2209-A Projesi — Principal Investigator. Budget: 9,000 TRY.
2025 · In Process Modified Sampling Kantorovich Operators in Orlicz Space — Selçuk Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi — Researcher. Budget: 130,720 TRY.
2024 · Completed Generalized sampling of Riemann-Liouville fractional integral type Kantorovich operators in image processing applications — TÜBİTAK 2209-A Projesi — Principal Investigator. Budget: 6,000 TRY.
2023 · Completed Defining Sampling Operators in new Function Spaces and Applications on Image Processing-Improvement — TÜBİTAK 3501 Projesi — Researcher. Budget: 324,500 TRY.
2019 · Completed A new aspect to approximation theory: exponential approximations — TÜBİTAK 1002 Projesi — Researcher. Budget: 40,000 TRY.