Geodesic
An extremum problem related to Morera's theorem
Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 804-809

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The property of being holomorphic is studied for a continuous function whose integrals over the boundaries of the triangles from a specified set are zero. The results substantially strengthen Morera's and Dzyadyk's well-known theorems. 
@article{MZM_1996_60_6_a1,
     author = {V. V. Volchkov},
     title = {An extremum problem related to {Morera's} theorem},
     journal = {Matemati\v{c}eskie zametki},
     pages = {804--809},
     publisher = {mathdoc},
     volume = {60},
     number = {6},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a1/}
}
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V. V. Volchkov. An extremum problem related to Morera's theorem. Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 804-809. http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a1/